75734560 has 96 divisors (see below), whose sum is σ = 200636352. Its totient is φ = 26772480.

The previous prime is 75734557. The next prime is 75734579. The reversal of 75734560 is 6543757.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64539 + ... + 65701.

It is an arithmetic number, because the mean of its divisors is an integer number (2089962).

Almost surely, 2^75734560 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 75734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100318176).

75734560 is an abundant number, since it is smaller than the sum of its proper divisors (124901792).

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

75734560 is a wasteful number, since it uses less digits than its factorization.

75734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 75734560 is about 8702.5605427368. The cubic root of 75734560 is about 423.0886441508.

The spelling of 75734560 in words is "seventy-five million, seven hundred thirty-four thousand, five hundred sixty".