172715136 has 128 divisors (see below), whose sum is σ = 517017600. Its totient is φ = 50611200.

The previous prime is 172715129. The next prime is 172715143. The reversal of 172715136 is 631517271.

It is an interprime number because it is at equal distance from previous prime (172715129) and next prime (172715143).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 172715097 and 172715106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130285 + ... + 131603.

It is an arithmetic number, because the mean of its divisors is an integer number (4039200).

Almost surely, 2^172715136 is an apocalyptic number.

172715136 is a gapful number since it is divisible by the number (16) 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 172715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258508800).

172715136 is an abundant number, since it is smaller than the sum of its proper divisors (344302464).

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

172715136 is a wasteful number, since it uses less digits than its factorization.

172715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 172715136 is about 13142.1130721053. The cubic root of 172715136 is about 556.8994636687.

The spelling of 172715136 in words is "one hundred seventy-two million, seven hundred fifteen thousand, one hundred thirty-six".