757638072 has 96 divisors (see below), whose sum is σ = 2180178000. Its totient is φ = 237012480.

The previous prime is 757638061. The next prime is 757638083. The reversal of 757638072 is 270836757.

757638072 is a `hidden beast` number, since 7 + 5 + 7 + 638 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (757638061) and next prime (757638083).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146572 + ... + 151652.

Almost surely, 2^757638072 is an apocalyptic number.

757638072 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 757638072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090089000).

757638072 is an abundant number, since it is smaller than the sum of its proper divisors (1422539928).

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

757638072 is a wasteful number, since it uses less digits than its factorization.

757638072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 757638072 is about 27525.2261026136. The cubic root of 757638072 is about 911.6341734527.

The spelling of 757638072 in words is "seven hundred fifty-seven million, six hundred thirty-eight thousand, seventy-two".