172711264 has 96 divisors (see below), whose sum is σ = 387828000. Its totient is φ = 75018240.

The previous prime is 172711247. The next prime is 172711267. The reversal of 172711264 is 462117271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172711267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159062 + ... + 1159210.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^172711264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914000).

172711264 is an abundant number, since it is smaller than the sum of its proper divisors (215116736).

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

172711264 is a wasteful number, since it uses less digits than its factorization.

172711264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 172711264 is about 13141.9657585918. The cubic root of 172711264 is about 556.8953020361.

The spelling of 172711264 in words is "one hundred seventy-two million, seven hundred eleven thousand, two hundred sixty-four".