126272304 has 80 divisors (see below), whose sum is σ = 364262400. Its totient is φ = 41880384.

The previous prime is 126272303. The next prime is 126272339. The reversal of 126272304 is 403272621.

126272304 is a `hidden beast` number, since 1 + 2 + 627 + 2 + 30 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126272303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102637 + ... + 103859.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^126272304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126272304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

126272304 is an abundant number, since it is smaller than the sum of its proper divisors (237990096).

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

126272304 is a wasteful number, since it uses less digits than its factorization.

126272304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 126272304 is about 11237.0949982636. The cubic root of 126272304 is about 501.6906820780.

The spelling of 126272304 in words is "one hundred twenty-six million, two hundred seventy-two thousand, three hundred four".