72293256 has 128 divisors (see below), whose sum is σ = 231840000. Its totient is φ = 20445696.

The previous prime is 72293251. The next prime is 72293261. The reversal of 72293256 is 65239227.

72293256 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (72293251) and next prime (72293261).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72293256.

It is not an unprimeable number, because it can be changed into a prime (72293251) 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, 206970 + ... + 207318.

It is an arithmetic number, because the mean of its divisors is an integer number (1811250).

Almost surely, 2^72293256 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 72293256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920000).

72293256 is an abundant number, since it is smaller than the sum of its proper divisors (159546744).

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

72293256 is a wasteful number, since it uses less digits than its factorization.

72293256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 72293256 is about 8502.5440898592. The cubic root of 72293256 is about 416.5808116084.

The spelling of 72293256 in words is "seventy-two million, two hundred ninety-three thousand, two hundred fifty-six".