126872420 has 48 divisors (see below), whose sum is σ = 274579200. Its totient is φ = 49221120.

The previous prime is 126872399. The next prime is 126872441. The reversal of 126872420 is 24278621.

It is an interprime number because it is at equal distance from previous prime (126872399) and next prime (126872441).

It is a super-2 number, since 2×126872420² = 32193221913312800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92540 + ... + 93900.

It is an arithmetic number, because the mean of its divisors is an integer number (5720400).

Almost surely, 2^126872420 is an apocalyptic number.

126872420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126872420 is an abundant number, since it is smaller than the sum of its proper divisors (147706780).

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

126872420 is a wasteful number, since it uses less digits than its factorization.

126872420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 126872420 is about 11263.7658001221. The cubic root of 126872420 is about 502.4841970889.

The spelling of 126872420 in words is "one hundred twenty-six million, eight hundred seventy-two thousand, four hundred twenty".