Search a number
-
+
72877104 = 2433168697
BaseRepresentation
bin1000101100000…
…00010000110000
312002010112121000
410112000100300
5122124031404
611122002000
71543305456
oct426002060
9162115530
1072877104
1138156713
12204a6300
1312138261
1499709d6
1565e8339
hex4580430

72877104 has 40 divisors (see below), whose sum is σ = 209185520. Its totient is φ = 24292224.

The previous prime is 72877099. The next prime is 72877109. The reversal of 72877104 is 40177827.

It is an interprime number because it is at equal distance from previous prime (72877099) and next prime (72877109).

It is a super-2 number, since 2×728771042 = 10622144574853632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72877109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83917 + ... + 84780.

It is an arithmetic number, because the mean of its divisors is an integer number (5229638).

Almost surely, 272877104 is an apocalyptic number.

It is an amenable number.

72877104 is an abundant number, since it is smaller than the sum of its proper divisors (136308416).

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

72877104 is a wasteful number, since it uses less digits than its factorization.

72877104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168714 (or 168702 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 72877104 is about 8536.8087714321. The cubic root of 72877104 is about 417.6992563643.

The spelling of 72877104 in words is "seventy-two million, eight hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 168697 337394 506091 674788 1012182 1349576 1518273 2024364 2699152 3036546 4048728 4554819 6073092 8097456 9109638 12146184 18219276 24292368 36438552 72877104