72822456 has 64 divisors (see below), whose sum is σ = 231187200. Its totient is φ = 20805984.

The previous prime is 72822443. The next prime is 72822467. The reversal of 72822456 is 65422827.

It is a super-2 number, since 2×72822456² = 10606220195743872, which contains 22 as substring.

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 72822456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22570 + ... + 25593.

It is an arithmetic number, because the mean of its divisors is an integer number (3612300).

Almost surely, 2^72822456 is an apocalyptic number.

It is an amenable number.

72822456 is an abundant number, since it is smaller than the sum of its proper divisors (158364744).

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

72822456 is a wasteful number, since it uses less digits than its factorization.

72822456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48185 (or 48175 counting only the distinct ones).

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

The square root of 72822456 is about 8533.6074435141. The cubic root of 72822456 is about 417.5948242191.

The spelling of 72822456 in words is "seventy-two million, eight hundred twenty-two thousand, four hundred fifty-six".