82129572 has 48 divisors (see below), whose sum is σ = 243349120. Its totient is φ = 23465376.

The previous prime is 82129559. The next prime is 82129577. The reversal of 82129572 is 27592128.

82129572 is a `hidden beast` number, since 82 + 1 + 2 + 9 + 572 = 666.

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 (82129577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53563 + ... + 55074.

Almost surely, 2^82129572 is an apocalyptic number.

It is an amenable number.

82129572 is an abundant number, since it is smaller than the sum of its proper divisors (161219548).

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

82129572 is a wasteful number, since it uses less digits than its factorization.

82129572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108657 (or 108649 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 82129572 is about 9062.5367309600. The cubic root of 82129572 is about 434.6768587048.

The spelling of 82129572 in words is "eighty-two million, one hundred twenty-nine thousand, five hundred seventy-two".