172912000 has 128 divisors (see below), whose sum is σ = 438216480. Its totient is φ = 67840000.

The previous prime is 172911979. The next prime is 172912021. The reversal of 172912000 is 219271.

It is an interprime number because it is at equal distance from previous prime (172911979) and next prime (172912021).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615947 + ... + 1616053.

Almost surely, 2^172912000 is an apocalyptic number.

172912000 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 172912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219108240).

172912000 is an abundant number, since it is smaller than the sum of its proper divisors (265304480).

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

172912000 is a wasteful number, since it uses less digits than its factorization.

172912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 172912000 is about 13149.6007543955. The cubic root of 172912000 is about 557.1109715323.

It can be divided in two parts, 17291 and 2000, that added together give a palindrome (19291).

The spelling of 172912000 in words is "one hundred seventy-two million, nine hundred twelve thousand".