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72023070 = 2357595813
BaseRepresentation
bin1000100101011…
…11110000011110
312000112011002010
410102233300132
5121414214240
611051412050
71533120540
oct422576036
9160464063
1072023070
1137722aa9
1220154026
1311bc9602
1497cb690
1564ca280
hex44afc1e

72023070 has 64 divisors (see below), whose sum is σ = 200931840. Its totient is φ = 16180608.

The previous prime is 72023069. The next prime is 72023071. The reversal of 72023070 is 7032027.

It is an interprime number because it is at equal distance from previous prime (72023069) and next prime (72023071).

It is a super-2 number, since 2×720230702 = 10374645224449800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72023071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9484 + ... + 15296.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 272023070 is an apocalyptic number.

72023070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72023070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

72023070 is an abundant number, since it is smaller than the sum of its proper divisors (128908770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72023070 is a wasteful number, since it uses less digits than its factorization.

72023070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 72023070 is about 8486.6406781482. The cubic root of 72023070 is about 416.0611927672.

Adding to 72023070 its reverse (7032027), we get a palindrome (79055097).

The spelling of 72023070 in words is "seventy-two million, twenty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 5813 6195 11626 12390 17439 29065 34878 40691 58130 81382 87195 122073 174390 203455 244146 342967 406910 610365 685934 1028901 1220730 1714835 2057802 2400769 3429670 4801538 5144505 7202307 10289010 12003845 14404614 24007690 36011535 72023070