72576960 has 224 divisors, whose sum is σ = 254568960. Its totient is φ = 17436672.

The previous prime is 72576953. The next prime is 72577003. The reversal of 72576960 is 6967527.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419434 + ... + 419606.

Almost surely, 2^72576960 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 72576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127284480).

72576960 is an abundant number, since it is smaller than the sum of its proper divisors (181992000).

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

72576960 is a wasteful number, since it uses less digits than its factorization.

72576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 72576960 is about 8519.2112310941. The cubic root of 72576960 is about 417.1250365458.

It can be divided in two parts, 72576 and 960, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 72576960 in words is "seventy-two million, five hundred seventy-six thousand, nine hundred sixty".