72901980 has 36 divisors (see below), whose sum is σ = 221136552. Its totient is φ = 19440480.

The previous prime is 72901957. The next prime is 72901991. The reversal of 72901980 is 8910927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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, 202326 + ... + 202685.

It is an arithmetic number, because the mean of its divisors is an integer number (6142682).

Almost surely, 2^72901980 is an apocalyptic number.

It is an amenable number.

72901980 is an abundant number, since it is smaller than the sum of its proper divisors (148234572).

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

72901980 is a wasteful number, since it uses less digits than its factorization.

72901980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405026 (or 405021 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 72901980 is about 8538.2656318482. The cubic root of 72901980 is about 417.7467770263.

The spelling of 72901980 in words is "seventy-two million, nine hundred one thousand, nine hundred eighty".