172938960 has 240 divisors, whose sum is σ = 626745600. Its totient is φ = 42577920.

The previous prime is 172938937. The next prime is 172938989. The reversal of 172938960 is 69839271.

172938960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868941 + ... + 869139.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^172938960 is an apocalyptic number.

172938960 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 172938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313372800).

172938960 is an abundant number, since it is smaller than the sum of its proper divisors (453806640).

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

172938960 is a wasteful number, since it uses less digits than its factorization.

172938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 172938960 is about 13150.6258406207. The cubic root of 172938960 is about 557.1399244703.

The spelling of 172938960 in words is "one hundred seventy-two million, nine hundred thirty-eight thousand, nine hundred sixty".