172390400 has 288 divisors, whose sum is σ = 540277920. Its totient is φ = 53084160.

The previous prime is 172390399. The next prime is 172390423. The reversal of 172390400 is 4093271.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 172390400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4659182 + ... + 4659218.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^172390400 is an apocalyptic number.

172390400 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 172390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

172390400 is an abundant number, since it is smaller than the sum of its proper divisors (367887520).

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

172390400 is a wasteful number, since it uses less digits than its factorization.

172390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 172390400 is about 13129.7524729143. The cubic root of 172390400 is about 556.5502204627.

The spelling of 172390400 in words is "one hundred seventy-two million, three hundred ninety thousand, four hundred".