72408456 has 48 divisors (see below), whose sum is σ = 196510860. Its totient is φ = 24086400.

The previous prime is 72408443. The next prime is 72408461. The reversal of 72408456 is 65480427.

72408456 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 46703556 + 25704900 = 6834^2 + 5070^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72408456.

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 11 ways as a sum of consecutive naturals, for example, 55006 + ... + 56306.

Almost surely, 2^72408456 is an apocalyptic number.

It is an amenable number.

72408456 is an abundant number, since it is smaller than the sum of its proper divisors (124102404).

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

72408456 is a wasteful number, since it uses less digits than its factorization.

72408456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72408456 is about 8509.3158361880. The cubic root of 72408456 is about 416.8019693567.

The spelling of 72408456 in words is "seventy-two million, four hundred eight thousand, four hundred fifty-six".