82407672 has 96 divisors (see below), whose sum is σ = 237128400. Its totient is φ = 26516160.

The previous prime is 82407667. The next prime is 82407707. The reversal of 82407672 is 27670428.

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 23 ways as a sum of consecutive naturals, for example, 207378 + ... + 207774.

Almost surely, 2^82407672 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 82407672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118564200).

82407672 is an abundant number, since it is smaller than the sum of its proper divisors (154720728).

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

82407672 is a wasteful number, since it uses less digits than its factorization.

82407672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 433 counting only the distinct ones).

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

The square root of 82407672 is about 9077.8671503828. The cubic root of 82407672 is about 435.1669276113.

The spelling of 82407672 in words is "eighty-two million, four hundred seven thousand, six hundred seventy-two".