172757920 has 48 divisors (see below), whose sum is σ = 411995808. Its totient is φ = 68450560.

The previous prime is 172757891. The next prime is 172757941. The reversal of 172757920 is 29757271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 12075 + ... + 22165.

It is an arithmetic number, because the mean of its divisors is an integer number (8583246).

Almost surely, 2^172757920 is an apocalyptic number.

172757920 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 172757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205997904).

172757920 is an abundant number, since it is smaller than the sum of its proper divisors (239237888).

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

172757920 is a wasteful number, since it uses less digits than its factorization.

172757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 40.

The square root of 172757920 is about 13143.7407156410. The cubic root of 172757920 is about 556.9454438496.

The spelling of 172757920 in words is "one hundred seventy-two million, seven hundred fifty-seven thousand, nine hundred twenty".