172225920 has 128 divisors (see below), whose sum is σ = 552660480. Its totient is φ = 45619200.

The previous prime is 172225903. The next prime is 172225939. The reversal of 172225920 is 29522271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520155 + ... + 520485.

It is an arithmetic number, because the mean of its divisors is an integer number (4317660).

Almost surely, 2^172225920 is an apocalyptic number.

172225920 is a gapful number since it is divisible by the number (10) 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 172225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276330240).

172225920 is an abundant number, since it is smaller than the sum of its proper divisors (380434560).

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

172225920 is a wasteful number, since it uses less digits than its factorization.

172225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 172225920 is about 13123.4873414043. The cubic root of 172225920 is about 556.3731601211.

The spelling of 172225920 in words is "one hundred seventy-two million, two hundred twenty-five thousand, nine hundred twenty".