126533472 has 96 divisors (see below), whose sum is σ = 364639968. Its totient is φ = 38178816.

The previous prime is 126533471. The next prime is 126533497. The reversal of 126533472 is 274335621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126533471) 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, 65188 + ... + 67100.

It is an arithmetic number, because the mean of its divisors is an integer number (3798333).

Almost surely, 2^126533472 is an apocalyptic number.

126533472 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 126533472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182319984).

126533472 is an abundant number, since it is smaller than the sum of its proper divisors (238106496).

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

126533472 is a wasteful number, since it uses less digits than its factorization.

126533472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 126533472 is about 11248.7097926829. The cubic root of 126533472 is about 502.0363248372.

The spelling of 126533472 in words is "one hundred twenty-six million, five hundred thirty-three thousand, four hundred seventy-two".