75952560 has 40 divisors (see below), whose sum is σ = 235453680. Its totient is φ = 20253952.

The previous prime is 75952543. The next prime is 75952561. The reversal of 75952560 is 6525957.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (75952561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157995 + ... + 158474.

It is an arithmetic number, because the mean of its divisors is an integer number (5886342).

Almost surely, 2^75952560 is an apocalyptic number.

It is an amenable number.

75952560 is an abundant number, since it is smaller than the sum of its proper divisors (159501120).

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

75952560 is a wasteful number, since it uses less digits than its factorization.

75952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316485 (or 316479 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 75952560 is about 8715.0765917461. The cubic root of 75952560 is about 423.4942052253.

The spelling of 75952560 in words is "seventy-five million, nine hundred fifty-two thousand, five hundred sixty".