126972592 has 80 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 55710720.

The previous prime is 126972583. The next prime is 126972619. The reversal of 126972592 is 295279621.

It is a super-2 number, since 2×126972592² = 32244078238396928, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408117 + ... + 408427.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^126972592 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 126972592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

126972592 is an abundant number, since it is smaller than the sum of its proper divisors (151581008).

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

126972592 is a wasteful number, since it uses less digits than its factorization.

126972592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 126972592 is about 11268.2115706087. The cubic root of 126972592 is about 502.6164076080.

The spelling of 126972592 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, five hundred ninety-two".