75242693232 has 240 divisors, whose sum is σ = 251503188480. Its totient is φ = 21475020672.

The previous prime is 75242693219. The next prime is 75242693257. The reversal of 75242693232 is 23239624257.

75242693232 is a `hidden beast` number, since 7 + 524 + 2 + 6 + 93 + 2 + 32 = 666.

It is a super-2 number, since 2×75242693232² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36471433 + ... + 36473495.

It is an arithmetic number, because the mean of its divisors is an integer number (1047929952).

Almost surely, 2^75242693232 is an apocalyptic number.

75242693232 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 75242693232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125751594240).

75242693232 is an abundant number, since it is smaller than the sum of its proper divisors (176260495248).

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

75242693232 is a wasteful number, since it uses less digits than its factorization.

75242693232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3798 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 75242693232 in words is "seventy-five billion, two hundred forty-two million, six hundred ninety-three thousand, two hundred thirty-two".