172412928 has 104 divisors (see below), whose sum is σ = 511118400. Its totient is φ = 57434112.

The previous prime is 172412893. The next prime is 172412987. The reversal of 172412928 is 829214271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172412892 and 172412901.

It is a congruent number.

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, 109813 + ... + 111371.

It is an arithmetic number, because the mean of its divisors is an integer number (4914600).

Almost surely, 2^172412928 is an apocalyptic number.

172412928 is a gapful number since it is divisible by the number (18) 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 172412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255559200).

172412928 is an abundant number, since it is smaller than the sum of its proper divisors (338705472).

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

172412928 is an equidigital number, since it uses as much as digits as its factorization.

172412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1564 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 172412928 is about 13130.6103437731. The cubic root of 172412928 is about 556.5744627585.

The spelling of 172412928 in words is "one hundred seventy-two million, four hundred twelve thousand, nine hundred twenty-eight".