126628272 has 60 divisors (see below), whose sum is σ = 367519880. Its totient is φ = 42208128.

The previous prime is 126628267. The next prime is 126628283. The reversal of 126628272 is 272826621.

126628272 is a `hidden beast` number, since 1 + 2 + 6 + 628 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12397 + ... + 20172.

Almost surely, 2^126628272 is an apocalyptic number.

126628272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126628272 is an abundant number, since it is smaller than the sum of its proper divisors (240891608).

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

126628272 is an equidigital number, since it uses as much as digits as its factorization.

126628272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32592 (or 32574 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 126628272 is about 11252.9228203165. The cubic root of 126628272 is about 502.1616702289.

The spelling of 126628272 in words is "one hundred twenty-six million, six hundred twenty-eight thousand, two hundred seventy-two".