72979440 has 40 divisors (see below), whose sum is σ = 226237008. Its totient is φ = 19461120.

The previous prime is 72979433. The next prime is 72979441. The reversal of 72979440 is 4497927.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 72979392 and 72979401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72979441) 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, 151801 + ... + 152280.

Almost surely, 2^72979440 is an apocalyptic number.

It is an amenable number.

72979440 is an abundant number, since it is smaller than the sum of its proper divisors (153257568).

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

72979440 is a wasteful number, since it uses less digits than its factorization.

72979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304097 (or 304091 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 72979440 is about 8542.8004775952. The cubic root of 72979440 is about 417.8946797833.

The spelling of 72979440 in words is "seventy-two million, nine hundred seventy-nine thousand, four hundred forty".