72405956 has 24 divisors (see below), whose sum is σ = 149485056. Its totient is φ = 30029760.

The previous prime is 72405943. The next prime is 72405961. The reversal of 72405956 is 65950427.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40841 + ... + 42576.

It is an arithmetic number, because the mean of its divisors is an integer number (6228544).

Almost surely, 2^72405956 is an apocalyptic number.

It is an amenable number.

72405956 is an abundant number, since it is smaller than the sum of its proper divisors (77079100).

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

72405956 is a wasteful number, since it uses less digits than its factorization.

72405956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83459 (or 83457 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 72405956 is about 8509.1689370937. The cubic root of 72405956 is about 416.7971724173.

The spelling of 72405956 in words is "seventy-two million, four hundred five thousand, nine hundred fifty-six".