126272952 has 128 divisors (see below), whose sum is σ = 381326400. Its totient is φ = 38486016.

The previous prime is 126272941. The next prime is 126272959. The reversal of 126272952 is 259272621.

It is a happy number.

126272952 is a `hidden beast` number, since 1 + 2 + 627 + 29 + 5 + 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 not an unprimeable number, because it can be changed into a prime (126272959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541828 + ... + 542060.

Almost surely, 2^126272952 is an apocalyptic number.

126272952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126272952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190663200).

126272952 is an abundant number, since it is smaller than the sum of its proper divisors (255053448).

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

126272952 is a wasteful number, since it uses less digits than its factorization.

126272952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 126272952 is about 11237.1238313013. The cubic root of 126272952 is about 501.6915402631.

The spelling of 126272952 in words is "one hundred twenty-six million, two hundred seventy-two thousand, nine hundred fifty-two".