72980955 has 48 divisors (see below), whose sum is σ = 133436160. Its totient is φ = 36826944.

The previous prime is 72980951. The next prime is 72980969. The reversal of 72980955 is 55908927.

It is a happy number.

It is not a de Polignac number, because 72980955 - 2² = 72980951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72980955.

It is not an unprimeable number, because it can be changed into a prime (72980951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110416 + ... + 111074.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2^72980955 is an apocalyptic number.

72980955 is a deficient number, since it is larger than the sum of its proper divisors (60455205).

72980955 is a wasteful number, since it uses less digits than its factorization.

72980955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 72980955 is about 8542.8891482917. The cubic root of 72980955 is about 417.8975714930.

The spelling of 72980955 in words is "seventy-two million, nine hundred eighty thousand, nine hundred fifty-five".