172137120 has 96 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 45143040.

The previous prime is 172137109. The next prime is 172137149. The reversal of 172137120 is 21731271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26341 + ... + 32219.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2^172137120 is an apocalyptic number.

172137120 is a gapful number since it is divisible by the number (10) 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 172137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

172137120 is an abundant number, since it is smaller than the sum of its proper divisors (379077600).

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

172137120 is a wasteful number, since it uses less digits than its factorization.

172137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 172137120 is about 13120.1036581271. The cubic root of 172137120 is about 556.2775213417.

Adding to 172137120 its reverse (21731271), we get a palindrome (193868391).

The spelling of 172137120 in words is "one hundred seventy-two million, one hundred thirty-seven thousand, one hundred twenty".