75901689072 has 120 divisors (see below), whose sum is σ = 234025008048. Its totient is φ = 22772736000.

The previous prime is 75901689013. The next prime is 75901689091. The reversal of 75901689072 is 27098610957.

It is a super-4 number, since 4×75901689072⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77233 + ... + 397200.

Almost surely, 2^75901689072 is an apocalyptic number.

75901689072 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 75901689072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117012504024).

75901689072 is an abundant number, since it is smaller than the sum of its proper divisors (158123318976).

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

75901689072 is a wasteful number, since it uses less digits than its factorization.

75901689072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474559 (or 474550 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 75901689072 in words is "seventy-five billion, nine hundred one million, six hundred eighty-nine thousand, seventy-two".