75259296072 has 160 divisors (see below), whose sum is σ = 226856428920. Its totient is φ = 23223490560.

The previous prime is 75259296019. The next prime is 75259296097. The reversal of 75259296072 is 27069295257.

75259296072 is a `hidden beast` number, since 7 + 5 + 2 + 5 + 9 + 29 + 607 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71767195236 + 3492100836 = 267894^2 + 59094^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 615978 + ... + 727974.

Almost surely, 2^75259296072 is an apocalyptic number.

75259296072 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 75259296072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113428214460).

75259296072 is an abundant number, since it is smaller than the sum of its proper divisors (151597132848).

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

75259296072 is a wasteful number, since it uses less digits than its factorization.

75259296072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112093 (or 112080 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 75259296072 in words is "seventy-five billion, two hundred fifty-nine million, two hundred ninety-six thousand, seventy-two".