126874272 has 48 divisors (see below), whose sum is σ = 380624832. Its totient is φ = 36249600.

The previous prime is 126874271. The next prime is 126874273. The reversal of 126874272 is 272478621.

It is an interprime number because it is at equal distance from previous prime (126874271) and next prime (126874273).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126874272.

It is not an unprimeable number, because it can be changed into a prime (126874271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93729 + ... + 95072.

It is an arithmetic number, because the mean of its divisors is an integer number (7929684).

Almost surely, 2^126874272 is an apocalyptic number.

126874272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126874272 is an abundant number, since it is smaller than the sum of its proper divisors (253750560).

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

126874272 is a wasteful number, since it uses less digits than its factorization.

126874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188821 (or 188813 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 126874272 is about 11263.8480103382. The cubic root of 126874272 is about 502.4866420548.

The spelling of 126874272 in words is "one hundred twenty-six million, eight hundred seventy-four thousand, two hundred seventy-two".