72307256 has 64 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 28915200.

The previous prime is 72307241. The next prime is 72307297. The reversal of 72307256 is 65270327.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143501 + ... + 144003.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^72307256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72307256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

72307256 is an abundant number, since it is smaller than the sum of its proper divisors (93166024).

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

72307256 is a wasteful number, since it uses less digits than its factorization.

72307256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72307256 is about 8503.3673330040. The cubic root of 72307256 is about 416.6077009535.

The spelling of 72307256 in words is "seventy-two million, three hundred seven thousand, two hundred fifty-six".