82542672 has 40 divisors (see below), whose sum is σ = 236929280. Its totient is φ = 27514080.

The previous prime is 82542661. The next prime is 82542673. The reversal of 82542672 is 27624528.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82542673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95104 + ... + 95967.

It is an arithmetic number, because the mean of its divisors is an integer number (5923232).

Almost surely, 2^82542672 is an apocalyptic number.

It is an amenable number.

82542672 is an abundant number, since it is smaller than the sum of its proper divisors (154386608).

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

82542672 is a wasteful number, since it uses less digits than its factorization.

82542672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191088 (or 191076 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 82542672 is about 9085.2997749111. The cubic root of 82542672 is about 435.4044276844.

The spelling of 82542672 in words is "eighty-two million, five hundred forty-two thousand, six hundred seventy-two".