75012920 has 64 divisors (see below), whose sum is σ = 174363840. Its totient is φ = 29030400.

The previous prime is 75012919. The next prime is 75012929. The reversal of 75012920 is 2921057.

It is a Cunningham number, because it is equal to 8661²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 75012920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75012929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173024 + ... + 173456.

It is an arithmetic number, because the mean of its divisors is an integer number (2724435).

Almost surely, 2^75012920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75012920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

75012920 is an abundant number, since it is smaller than the sum of its proper divisors (99350920).

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

75012920 is a wasteful number, since it uses less digits than its factorization.

75012920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 75012920 is about 8660.9999422699. Note that the first 4 decimals coincide. The cubic root of 75012920 is about 421.7405471494.

Adding to 75012920 its reverse (2921057), we get a palindrome (77933977).

The spelling of 75012920 in words is "seventy-five million, twelve thousand, nine hundred twenty".