126672400 has 30 divisors (see below), whose sum is σ = 304331402. Its totient is φ = 50668800.

The previous prime is 126672391. The next prime is 126672401. The reversal of 126672400 is 4276621.

It can be written as a sum of positive squares in 3 ways, for example, as 5143824 + 121528576 = 2268^2 + 11024^2 .

It is not an unprimeable number, because it can be changed into a prime (126672401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 157941 + ... + 158740.

Almost surely, 2^126672400 is an apocalyptic number.

126672400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126672400 is an abundant number, since it is smaller than the sum of its proper divisors (177659002).

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

126672400 is a wasteful number, since it uses less digits than its factorization.

126672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316699 (or 316688 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 126672400 is about 11254.8833845580. The cubic root of 126672400 is about 502.2199953203.

The spelling of 126672400 in words is "one hundred twenty-six million, six hundred seventy-two thousand, four hundred".