75566920 has 96 divisors (see below), whose sum is σ = 201431160. Its totient is φ = 25344000.

The previous prime is 75566917. The next prime is 75566927. The reversal of 75566920 is 2966557.

It can be written as a sum of positive squares in 4 ways, for example, as 19945156 + 55621764 = 4466^2 + 7458^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (75566927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62320 + ... + 63520.

Almost surely, 2^75566920 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 75566920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100715580).

75566920 is an abundant number, since it is smaller than the sum of its proper divisors (125864240).

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

75566920 is a wasteful number, since it uses less digits than its factorization.

75566920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 75566920 is about 8692.9235588495. The cubic root of 75566920 is about 422.7762417406.

The spelling of 75566920 in words is "seventy-five million, five hundred sixty-six thousand, nine hundred twenty".