72971880 has 32 divisors (see below), whose sum is σ = 218916000. Its totient is φ = 19459136.

The previous prime is 72971879. The next prime is 72971887. The reversal of 72971880 is 8817927.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72971887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 303930 + ... + 304169.

It is an arithmetic number, because the mean of its divisors is an integer number (6841125).

Almost surely, 2^72971880 is an apocalyptic number.

It is an amenable number.

72971880 is an abundant number, since it is smaller than the sum of its proper divisors (145944120).

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

72971880 is a wasteful number, since it uses less digits than its factorization.

72971880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608113 (or 608109 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 72971880 is about 8542.3579882840. The cubic root of 72971880 is about 417.8802492675.

The spelling of 72971880 in words is "seventy-two million, nine hundred seventy-one thousand, eight hundred eighty".