82175072 has 24 divisors (see below), whose sum is σ = 184894416. Its totient is φ = 35217792.

The previous prime is 82175003. The next prime is 82175077. The reversal of 82175072 is 27057128.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82175077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183203 + ... + 183650.

It is an arithmetic number, because the mean of its divisors is an integer number (7703934).

Almost surely, 2^82175072 is an apocalyptic number.

It is an amenable number.

82175072 is an abundant number, since it is smaller than the sum of its proper divisors (102719344).

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

82175072 is a wasteful number, since it uses less digits than its factorization.

82175072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366870 (or 366862 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 82175072 is about 9065.0467180263. The cubic root of 82175072 is about 434.7571145956.

The spelling of 82175072 in words is "eighty-two million, one hundred seventy-five thousand, seventy-two".