72406956 has 48 divisors (see below), whose sum is σ = 171974880. Its totient is φ = 23708160.

The previous prime is 72406951. The next prime is 72406963. The reversal of 72406956 is 65960427.

It is not an unprimeable number, because it can be changed into a prime (72406951) 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 15 ways as a sum of consecutive naturals, for example, 257536 + ... + 257816.

It is an arithmetic number, because the mean of its divisors is an integer number (3582810).

Almost surely, 2^72406956 is an apocalyptic number.

It is an amenable number.

72406956 is an abundant number, since it is smaller than the sum of its proper divisors (99567924).

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

72406956 is a wasteful number, since it uses less digits than its factorization.

72406956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 72406956 is about 8509.2276970357. The cubic root of 72406956 is about 416.7990912063.

It can be divided in two parts, 7240 and 6956, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 72406956 in words is "seventy-two million, four hundred six thousand, nine hundred fifty-six".