126272496 has 80 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 34831104.

The previous prime is 126272491. The next prime is 126272533. The reversal of 126272496 is 694272621.

It is a super-3 number, since 3×126272496³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126272491) 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, 3265 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^126272496 is an apocalyptic number.

126272496 is a gapful number since it is divisible by the number (16) 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 126272496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

126272496 is an abundant number, since it is smaller than the sum of its proper divisors (259417104).

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

126272496 is a wasteful number, since it uses less digits than its factorization.

126272496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 13000 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 126272496 is about 11237.1035413936. The cubic root of 126272496 is about 501.6909363554.

The spelling of 126272496 in words is "one hundred twenty-six million, two hundred seventy-two thousand, four hundred ninety-six".