72681256 has 32 divisors (see below), whose sum is σ = 146675880. Its totient is φ = 33638400.

The previous prime is 72681253. The next prime is 72681263. The reversal of 72681256 is 65218627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35593156 + 37088100 = 5966^2 + 6090^2 .

It is not an unprimeable number, because it can be changed into a prime (72681253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3916 + ... + 12676.

Almost surely, 2^72681256 is an apocalyptic number.

It is an amenable number.

72681256 is an abundant number, since it is smaller than the sum of its proper divisors (73994624).

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

72681256 is a wasteful number, since it uses less digits than its factorization.

72681256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845 (or 8841 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 72681256 is about 8525.3302575325. The cubic root of 72681256 is about 417.3247493757.

The spelling of 72681256 in words is "seventy-two million, six hundred eighty-one thousand, two hundred fifty-six".