172152000 has 224 divisors, whose sum is σ = 632399040. Its totient is φ = 45849600.

The previous prime is 172151999. The next prime is 172152007. The reversal of 172152000 is 251271.

It is a super-2 number, since 2×172152000² = 59272622208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (172152007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215602 + ... + 216398.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2^172152000 is an apocalyptic number.

172152000 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 172152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).

172152000 is an abundant number, since it is smaller than the sum of its proper divisors (460247040).

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

172152000 is an equidigital number, since it uses as much as digits as its factorization.

172152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 172152000 is about 13120.6707145633. The cubic root of 172152000 is about 556.2935495929.

The spelling of 172152000 in words is "one hundred seventy-two million, one hundred fifty-two thousand".