172798920 has 320 divisors, whose sum is σ = 700444800. Its totient is φ = 37324800.

The previous prime is 172798891. The next prime is 172798933. The reversal of 172798920 is 29897271.

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

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1203 × 1197 × 120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430720 + ... + 431120.

It is an arithmetic number, because the mean of its divisors is an integer number (2188890).

Almost surely, 2^172798920 is an apocalyptic number.

172798920 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 172798920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350222400).

172798920 is an abundant number, since it is smaller than the sum of its proper divisors (527645880).

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

172798920 is a wasteful number, since it uses less digits than its factorization.

172798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 172798920 is about 13145.3003008680. The cubic root of 172798920 is about 556.9894996339.

The spelling of 172798920 in words is "one hundred seventy-two million, seven hundred ninety-eight thousand, nine hundred twenty".