172396900 has 81 divisors (see below), whose sum is σ = 409142433. Its totient is φ = 63024000.

The previous prime is 172396897. The next prime is 172396901. The reversal of 172396900 is 9693271.

172396900 = T₃₄₉ + T₃₅₀ + ... + T₁₀₂₄.

The square root of 172396900 is 13130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 76983076 + 95413824 = 8774^2 + 9768^2 .

It is a super-2 number, since 2×172396900² = 59441382259220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 172396900.

It is not an unprimeable number, because it can be changed into a prime (172396901) by changing a digit.

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, 1706850 + ... + 1706950.

Almost surely, 2^172396900 is an apocalyptic number.

172396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172396900 is the 13130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172396900

172396900 is an abundant number, since it is smaller than the sum of its proper divisors (236745533).

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

172396900 is a wasteful number, since it uses less digits than its factorization.

172396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The cubic root of 172396900 is about 556.5572153049.

The spelling of 172396900 in words is "one hundred seventy-two million, three hundred ninety-six thousand, nine hundred".