75390017472 has 672 divisors, whose sum is σ = 277304601600. Its totient is φ = 19018137600.

The previous prime is 75390017459. The next prime is 75390017477. The reversal of 75390017472 is 27471009357.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75390017477) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 280260154 + ... + 280260422.

Almost surely, 2^75390017472 is an apocalyptic number.

75390017472 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 75390017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138652300800).

75390017472 is an abundant number, since it is smaller than the sum of its proper divisors (201914584128).

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

75390017472 is a wasteful number, since it uses less digits than its factorization.

75390017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 75390017472 in words is "seventy-five billion, three hundred ninety million, seventeen thousand, four hundred seventy-two".