172879872 has 104 divisors (see below), whose sum is σ = 503255040. Its totient is φ = 52346880.

The previous prime is 172879867. The next prime is 172879877. The reversal of 172879872 is 278978271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (172879867) and next prime (172879877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172879877) 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, 134529 + ... + 135807.

Almost surely, 2^172879872 is an apocalyptic number.

172879872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251627520).

172879872 is an abundant number, since it is smaller than the sum of its proper divisors (330375168).

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

172879872 is a wasteful number, since it uses less digits than its factorization.

172879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1295 counting only the distinct ones).

The product of its digits is 790272, while the sum is 51.

The square root of 172879872 is about 13148.3790635956. The cubic root of 172879872 is about 557.0764646348.

It can be divided in two parts, 1728798 and 72, that added together give a triangular number (1728870 = T₁₈₅₉).

The spelling of 172879872 in words is "one hundred seventy-two million, eight hundred seventy-nine thousand, eight hundred seventy-two".