72782712 has 80 divisors (see below), whose sum is σ = 215883360. Its totient is φ = 22830336.

The previous prime is 72782701. The next prime is 72782747. The reversal of 72782712 is 21728727.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7713 + ... + 14319.

It is an arithmetic number, because the mean of its divisors is an integer number (2698542).

Almost surely, 2^72782712 is an apocalyptic number.

72782712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72782712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107941680).

72782712 is an abundant number, since it is smaller than the sum of its proper divisors (143100648).

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

72782712 is a wasteful number, since it uses less digits than its factorization.

72782712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6629 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 72782712 is about 8531.2784505020. The cubic root of 72782712 is about 417.5188407480.

The spelling of 72782712 in words is "seventy-two million, seven hundred eighty-two thousand, seven hundred twelve".