72956928 has 176 divisors, whose sum is σ = 226381824. Its totient is φ = 20643840.

The previous prime is 72956927. The next prime is 72956951. The reversal of 72956928 is 82965927.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (544320) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72956921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574401 + ... + 574527.

Almost surely, 2^72956928 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 72956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113190912).

72956928 is an abundant number, since it is smaller than the sum of its proper divisors (153424896).

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

72956928 is a wasteful number, since it uses less digits than its factorization.

72956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 72956928 is about 8541.4827752563. The cubic root of 72956928 is about 417.8517059790.

The spelling of 72956928 in words is "seventy-two million, nine hundred fifty-six thousand, nine hundred twenty-eight".