72983520 has 72 divisors (see below), whose sum is σ = 249061176. Its totient is φ = 19461888.

The previous prime is 72983501. The next prime is 72983543. The reversal of 72983520 is 2538927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23902 + ... + 26781.

It is an arithmetic number, because the mean of its divisors is an integer number (3459183).

Almost surely, 2^72983520 is an apocalyptic number.

It is an amenable number.

72983520 is an abundant number, since it is smaller than the sum of its proper divisors (176077656).

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

72983520 is a wasteful number, since it uses less digits than its factorization.

72983520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50704 (or 50693 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72983520 is about 8543.0392718283. The cubic root of 72983520 is about 417.9024672666.

The spelling of 72983520 in words is "seventy-two million, nine hundred eighty-three thousand, five hundred twenty".