72000456 has 64 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 21702720.

The previous prime is 72000449. The next prime is 72000479. The reversal of 72000456 is 65400027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 58261 + ... + 59483.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^72000456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

72000456 is an abundant number, since it is smaller than the sum of its proper divisors (125406264).

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

72000456 is a wasteful number, since it uses less digits than its factorization.

72000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72000456 is about 8485.3082442537. The cubic root of 72000456 is about 416.0176428661.

The spelling of 72000456 in words is "seventy-two million, four hundred fifty-six", and thus it is an aban number.