172741920 has 384 divisors, whose sum is σ = 650280960. Its totient is φ = 38154240.

The previous prime is 172741903. The next prime is 172741927. The reversal of 172741920 is 29147271.

It is not an unprimeable number, because it can be changed into a prime (172741927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3675337 + ... + 3675383.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^172741920 is an apocalyptic number.

172741920 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 172741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

172741920 is an abundant number, since it is smaller than the sum of its proper divisors (477539040).

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

172741920 is a wasteful number, since it uses less digits than its factorization.

172741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 172741920 is about 13143.1320468144. The cubic root of 172741920 is about 556.9282494575.

The spelling of 172741920 in words is "one hundred seventy-two million, seven hundred forty-one thousand, nine hundred twenty".