172972332 has 144 divisors (see below), whose sum is σ = 490989408. Its totient is φ = 51010560.

The previous prime is 172972309. The next prime is 172972357. The reversal of 172972332 is 233279271.

172972332 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-3 number, since 3×172972332³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083963 + ... + 2084045.

Almost surely, 2^172972332 is an apocalyptic number.

172972332 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 172972332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245494704).

172972332 is an abundant number, since it is smaller than the sum of its proper divisors (318017076).

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

172972332 is a wasteful number, since it uses less digits than its factorization.

172972332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 172972332 is about 13151.8946163661. The cubic root of 172972332 is about 557.1757592291.

The spelling of 172972332 in words is "one hundred seventy-two million, nine hundred seventy-two thousand, three hundred thirty-two".