172012400 has 120 divisors (see below), whose sum is σ = 493016064. Its totient is φ = 56390400.

The previous prime is 172012391. The next prime is 172012403. The reversal of 172012400 is 4210271.

172012400 = T₃₈₅₆ + T₃₈₅₇ + ... + T₃₈₇₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172012403) 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 23 ways as a sum of consecutive naturals, for example, 63065 + ... + 65735.

Almost surely, 2^172012400 is an apocalyptic number.

172012400 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 172012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246508032).

172012400 is an abundant number, since it is smaller than the sum of its proper divisors (321003664).

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

172012400 is a wasteful number, since it uses less digits than its factorization.

172012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 172012400 is about 13115.3497856519. The cubic root of 172012400 is about 556.1431406900.

Adding to 172012400 its reverse (4210271), we get a palindrome (176222671).

The spelling of 172012400 in words is "one hundred seventy-two million, twelve thousand, four hundred".