172907136 has 224 divisors, whose sum is σ = 551855700. Its totient is φ = 53747712.

The previous prime is 172907129. The next prime is 172907159. The reversal of 172907136 is 631709271.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 162409536 + 10497600 = 12744^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172907136.

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 27 ways as a sum of consecutive naturals, for example, 1586250 + ... + 1586358.

Almost surely, 2^172907136 is an apocalyptic number.

172907136 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 172907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275927850).

172907136 is an abundant number, since it is smaller than the sum of its proper divisors (378948564).

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

172907136 is an equidigital number, since it uses as much as digits as its factorization.

172907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 172907136 is about 13149.4158045139. The cubic root of 172907136 is about 557.1057476551.

The spelling of 172907136 in words is "one hundred seventy-two million, nine hundred seven thousand, one hundred thirty-six".