756253872 has 90 divisors (see below), whose sum is σ = 2326410996. Its totient is φ = 229162560.

The previous prime is 756253871. The next prime is 756253921. The reversal of 756253872 is 278352657.

756253872 is a `hidden beast` number, since 7 + 562 + 5 + 3 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (756253871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4278 + ... + 39125.

Almost surely, 2^756253872 is an apocalyptic number.

756253872 is a gapful number since it is divisible by the number (72) 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 756253872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163205498).

756253872 is an abundant number, since it is smaller than the sum of its proper divisors (1570157124).

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

756253872 is a wasteful number, since it uses less digits than its factorization.

756253872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43439 (or 43419 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 756253872 is about 27500.0703999099. The cubic root of 756253872 is about 911.0786517002.

It can be divided in two parts, 75625 and 3872, that added together give a palindrome (79497).

The spelling of 756253872 in words is "seven hundred fifty-six million, two hundred fifty-three thousand, eight hundred seventy-two".