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67230072 = 233271331331
BaseRepresentation
bin1000000000111…
…01100101111000
311200111122022200
410000131211320
5114202330242
610400550200
71444306020
oct400354570
9150448280
1067230072
1134a49a48
121a622360
1310c0bb10
148d00a80
155d8004c
hex401d978

67230072 has 192 divisors, whose sum is σ = 232028160. Its totient is φ = 17107200.

The previous prime is 67230067. The next prime is 67230077. The reversal of 67230072 is 27003276.

It is an interprime number because it is at equal distance from previous prime (67230067) and next prime (67230077).

It is a super-2 number, since 2×672300722 = 9039765162250368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67230077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202947 + ... + 203277.

It is an arithmetic number, because the mean of its divisors is an integer number (1208480).

Almost surely, 267230072 is an apocalyptic number.

67230072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67230072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116014080).

67230072 is an abundant number, since it is smaller than the sum of its proper divisors (164798088).

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

67230072 is a wasteful number, since it uses less digits than its factorization.

67230072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 67230072 is about 8199.3946117991. The cubic root of 67230072 is about 406.6191786646.

The spelling of 67230072 in words is "sixty-seven million, two hundred thirty thousand, seventy-two".