72956480 has 28 divisors (see below), whose sum is σ = 173728380. Its totient is φ = 29182464.

The previous prime is 72956459. The next prime is 72956519. The reversal of 72956480 is 8465927.

It can be written as a sum of positive squares in 2 ways, for example, as 39037504 + 33918976 = 6248^2 + 5824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113675 + ... + 114314.

It is an arithmetic number, because the mean of its divisors is an integer number (6204585).

Almost surely, 2^72956480 is an apocalyptic number.

It is an amenable number.

72956480 is an abundant number, since it is smaller than the sum of its proper divisors (100771900).

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

72956480 is a wasteful number, since it uses less digits than its factorization.

72956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228006 (or 227996 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 72956480 is about 8541.4565502612. The cubic root of 72956480 is about 417.8508506892.

The spelling of 72956480 in words is "seventy-two million, nine hundred fifty-six thousand, four hundred eighty".