172121152 has 112 divisors (see below), whose sum is σ = 418023040. Its totient is φ = 68677632.

The previous prime is 172121129. The next prime is 172121153. The reversal of 172121152 is 251121271.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (172121153) 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, 621238 + ... + 621514.

Almost surely, 2^172121152 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 172121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209011520).

172121152 is an abundant number, since it is smaller than the sum of its proper divisors (245901888).

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

172121152 is a wasteful number, since it uses less digits than its factorization.

172121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 280, while the sum is 22.

The square root of 172121152 is about 13119.4951122366. The cubic root of 172121152 is about 556.2603201048.

The spelling of 172121152 in words is "one hundred seventy-two million, one hundred twenty-one thousand, one hundred fifty-two".