126072408 has 128 divisors (see below), whose sum is σ = 416171520. Its totient is φ = 30812160.

The previous prime is 126072389. The next prime is 126072409. The reversal of 126072408 is 804270621.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126072409) 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, 29410 + ... + 33422.

It is an arithmetic number, because the mean of its divisors is an integer number (3251340).

Almost surely, 2^126072408 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 126072408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208085760).

126072408 is an abundant number, since it is smaller than the sum of its proper divisors (290099112).

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

126072408 is a wasteful number, since it uses less digits than its factorization.

126072408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 126072408 is about 11228.1970057530. The cubic root of 126072408 is about 501.4258076139.

The spelling of 126072408 in words is "one hundred twenty-six million, seventy-two thousand, four hundred eight".