72494880 has 96 divisors (see below), whose sum is σ = 240408000. Its totient is φ = 18312192.

The previous prime is 72494819. The next prime is 72494897. The reversal of 72494880 is 8849427.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (2504250).

Almost surely, 2^72494880 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 72494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120204000).

72494880 is an abundant number, since it is smaller than the sum of its proper divisors (167913120).

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

72494880 is a wasteful number, since it uses less digits than its factorization.

72494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 72494880 is about 8514.3925209025. The cubic root of 72494880 is about 416.9677297918.

The spelling of 72494880 in words is "seventy-two million, four hundred ninety-four thousand, eight hundred eighty".