126172400 has 60 divisors (see below), whose sum is σ = 308158104. Its totient is φ = 49632000.

The previous prime is 126172391. The next prime is 126172421. The reversal of 126172400 is 4271621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21815 + ... + 26985.

Almost surely, 2^126172400 is an apocalyptic number.

126172400 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 126172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154079052).

126172400 is an abundant number, since it is smaller than the sum of its proper divisors (181985704).

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

126172400 is a wasteful number, since it uses less digits than its factorization.

126172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 126172400 is about 11232.6488416580. The cubic root of 126172400 is about 501.5583381189.

The spelling of 126172400 in words is "one hundred twenty-six million, one hundred seventy-two thousand, four hundred".