172807152 has 80 divisors (see below), whose sum is σ = 511633920. Its totient is φ = 49234176.

The previous prime is 172807139. The next prime is 172807157. The reversal of 172807152 is 251708271.

172807152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×172807152² = 59724623564702208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172807157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205549 + ... + 206387.

It is an arithmetic number, because the mean of its divisors is an integer number (6395424).

Almost surely, 2^172807152 is an apocalyptic number.

172807152 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 172807152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255816960).

172807152 is an abundant number, since it is smaller than the sum of its proper divisors (338826768).

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

172807152 is a wasteful number, since it uses less digits than its factorization.

172807152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 172807152 is about 13145.6134128461. The cubic root of 172807152 is about 556.9983443357.

The spelling of 172807152 in words is "one hundred seventy-two million, eight hundred seven thousand, one hundred fifty-two".