126437472 has 144 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 35479296.

The previous prime is 126437471. The next prime is 126437503. The reversal of 126437472 is 274734621.

126437472 is a `hidden beast` number, since 1 + 2 + 643 + 7 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126437471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118413 + ... + 119475.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^126437472 is an apocalyptic number.

126437472 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 126437472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

126437472 is an abundant number, since it is smaller than the sum of its proper divisors (291842208).

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

126437472 is a wasteful number, since it uses less digits than its factorization.

126437472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 126437472 is about 11244.4418269650. The cubic root of 126437472 is about 501.9093289783.

The spelling of 126437472 in words is "one hundred twenty-six million, four hundred thirty-seven thousand, four hundred seventy-two".