172121088 has 88 divisors (see below), whose sum is σ = 469794688. Its totient is φ = 55996416.

The previous prime is 172121071. The next prime is 172121093. The reversal of 172121088 is 880121271.

It is a happy number.

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, 131445 + ... + 132747.

It is an arithmetic number, because the mean of its divisors is an integer number (5338576).

Almost surely, 2^172121088 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 172121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234897344).

172121088 is an abundant number, since it is smaller than the sum of its proper divisors (297673600).

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

172121088 is a wasteful number, since it uses less digits than its factorization.

172121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 172121088 is about 13119.4926731181. The cubic root of 172121088 is about 556.2602511598.

The spelling of 172121088 in words is "one hundred seventy-two million, one hundred twenty-one thousand, eighty-eight".