82713672 has 48 divisors (see below), whose sum is σ = 227099340. Its totient is φ = 27191808.

The previous prime is 82713671. The next prime is 82713679. The reversal of 82713672 is 27631728.

It can be written as a sum of positive squares in 2 ways, for example, as 76632516 + 6081156 = 8754^2 + 2466^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82713671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2613 + ... + 13124.

Almost surely, 2^82713672 is an apocalyptic number.

It is an amenable number.

82713672 is an abundant number, since it is smaller than the sum of its proper divisors (144385668).

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

82713672 is a wasteful number, since it uses less digits than its factorization.

82713672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15822 (or 15815 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82713672 is about 9094.7057126660. The cubic root of 82713672 is about 435.7048896555.

The spelling of 82713672 in words is "eighty-two million, seven hundred thirteen thousand, six hundred seventy-two".