7872172 has 48 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 3009600.

The previous prime is 7872149. The next prime is 7872181. The reversal of 7872172 is 2712787.

7872172 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

7872172 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18579 + ... + 18997.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^7872172 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 7872172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

7872172 is an abundant number, since it is smaller than the sum of its proper divisors (9626708).

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

7872172 is a wasteful number, since it uses less digits than its factorization.

7872172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its digits is 10976, while the sum is 34.

The square root of 7872172 is about 2805.7391183073. The cubic root of 7872172 is about 198.9290421492.

The spelling of 7872172 in words is "seven million, eight hundred seventy-two thousand, one hundred seventy-two".