82722672 has 60 divisors (see below), whose sum is σ = 233046840. Its totient is φ = 27391104.

The previous prime is 82722643. The next prime is 82722683. The reversal of 82722672 is 27622728.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20779 + ... + 24437.

It is an arithmetic number, because the mean of its divisors is an integer number (3884114).

Almost surely, 2^82722672 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 82722672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116523420).

82722672 is an abundant number, since it is smaller than the sum of its proper divisors (150324168).

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

82722672 is a wasteful number, since it uses less digits than its factorization.

82722672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3821 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 82722672 is about 9095.2004925675. The cubic root of 82722672 is about 435.7206919676.

The spelling of 82722672 in words is "eighty-two million, seven hundred twenty-two thousand, six hundred seventy-two".