172075632400 has 135 divisors (see below), whose sum is σ = 481069854741. Its totient is φ = 58977448320.

The previous prime is 172075632397. The next prime is 172075632419. The reversal of 172075632400 is 4236570271.

It is a happy number.

The square root of 172075632400 is 414820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61947227664 + 110128404736 = 248892^2 + 331856^2 .

It is a super-2 number, since 2×172075632400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172075632400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58073319 + ... + 58076281.

Almost surely, 2^172075632400 is an apocalyptic number.

172075632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172075632400 is the 414820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172075632400

172075632400 is an abundant number, since it is smaller than the sum of its proper divisors (308994222341).

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

172075632400 is an frugal number, since it uses more digits than its factorization.

172075632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 172075632400 in words is "one hundred seventy-two billion, seventy-five million, six hundred thirty-two thousand, four hundred".