75568020 has 96 divisors (see below), whose sum is σ = 234734976. Its totient is φ = 18009600.

The previous prime is 75568007. The next prime is 75568033. The reversal of 75568020 is 2086557.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75568007) and next prime (75568033).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39322 + ... + 41198.

It is an arithmetic number, because the mean of its divisors is an integer number (2445156).

Almost surely, 2^75568020 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 75568020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117367488).

75568020 is an abundant number, since it is smaller than the sum of its proper divisors (159166956).

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

75568020 is a wasteful number, since it uses less digits than its factorization.

75568020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 75568020 is about 8692.9868284727. The cubic root of 75568020 is about 422.7782931303.

It can be divided in two parts, 7556 and 8020, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 75568020 in words is "seventy-five million, five hundred sixty-eight thousand, twenty".