72782464 has 32 divisors (see below), whose sum is σ = 152632800. Its totient is φ = 34474752.

The previous prime is 72782401. The next prime is 72782467. The reversal of 72782464 is 46428727.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×72782464² = 10594574131822592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72782467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12532 + ... + 17395.

It is an arithmetic number, because the mean of its divisors is an integer number (4769775).

Almost surely, 2^72782464 is an apocalyptic number.

It is an amenable number.

72782464 is an abundant number, since it is smaller than the sum of its proper divisors (79850336).

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

72782464 is a wasteful number, since it uses less digits than its factorization.

72782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29960 (or 29948 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 72782464 is about 8531.2639157396. The cubic root of 72782464 is about 417.5183665292.

The spelling of 72782464 in words is "seventy-two million, seven hundred eighty-two thousand, four hundred sixty-four".