72979040 has 24 divisors (see below), whose sum is σ = 172413360. Its totient is φ = 29191552.

The previous prime is 72979009. The next prime is 72979061. The reversal of 72979040 is 4097927.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72978985 and 72979003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227900 + ... + 228219.

It is an arithmetic number, because the mean of its divisors is an integer number (7183890).

Almost surely, 2^72979040 is an apocalyptic number.

It is an amenable number.

72979040 is an abundant number, since it is smaller than the sum of its proper divisors (99434320).

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

72979040 is a wasteful number, since it uses less digits than its factorization.

72979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456134 (or 456126 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 72979040 is about 8542.7770660365. Note that the first 3 decimals coincide. The cubic root of 72979040 is about 417.8939162889.

The spelling of 72979040 in words is "seventy-two million, nine hundred seventy-nine thousand, forty".