72658980 has 36 divisors (see below), whose sum is σ = 220399452. Its totient is φ = 19375680.

The previous prime is 72658967. The next prime is 72658987. The reversal of 72658980 is 8985627.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 35497764 = 6096^2 + 5958^2 .

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 (45).

It is not an unprimeable number, because it can be changed into a prime (72658987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201651 + ... + 202010.

It is an arithmetic number, because the mean of its divisors is an integer number (6122207).

Almost surely, 2^72658980 is an apocalyptic number.

It is an amenable number.

72658980 is an abundant number, since it is smaller than the sum of its proper divisors (147740472).

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

72658980 is a wasteful number, since it uses less digits than its factorization.

72658980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403676 (or 403671 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72658980 is about 8524.0236977615. The cubic root of 72658980 is about 417.2821098814.

The spelling of 72658980 in words is "seventy-two million, six hundred fifty-eight thousand, nine hundred eighty".