172735968 has 48 divisors (see below), whose sum is σ = 468066816. Its totient is φ = 55720320.

The previous prime is 172735939. The next prime is 172736021. The reversal of 172735968 is 869537271.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26046 + ... + 31997.

It is an arithmetic number, because the mean of its divisors is an integer number (9751392).

Almost surely, 2^172735968 is an apocalyptic number.

It is an amenable number.

172735968 is an abundant number, since it is smaller than the sum of its proper divisors (295330848).

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

172735968 is a wasteful number, since it uses less digits than its factorization.

172735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58087 (or 58079 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 172735968 is about 13142.9056148174. The cubic root of 172735968 is about 556.9218528727.

The spelling of 172735968 in words is "one hundred seventy-two million, seven hundred thirty-five thousand, nine hundred sixty-eight".