115172400 has 120 divisors (see below), whose sum is σ = 421671424. Its totient is φ = 26323200.

The previous prime is 115172389. The next prime is 115172429. The reversal of 115172400 is 4271511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 15255.

Almost surely, 2^115172400 is an apocalyptic number.

115172400 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 115172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210835712).

115172400 is an abundant number, since it is smaller than the sum of its proper divisors (306499024).

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

115172400 is a wasteful number, since it uses less digits than its factorization.

115172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 115172400 is about 10731.8404758923. The cubic root of 115172400 is about 486.5372980294.

The spelling of 115172400 in words is "one hundred fifteen million, one hundred seventy-two thousand, four hundred".