75506640 has 160 divisors (see below), whose sum is σ = 262590336. Its totient is φ = 17786880.

The previous prime is 75506623. The next prime is 75506657. The reversal of 75506640 is 4660557.

It is an interprime number because it is at equal distance from previous prime (75506623) and next prime (75506657).

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, 97294 + ... + 98066.

Almost surely, 2^75506640 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 75506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131295168).

75506640 is an abundant number, since it is smaller than the sum of its proper divisors (187083696).

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

75506640 is a wasteful number, since it uses less digits than its factorization.

75506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 75506640 is about 8689.4556791551. The cubic root of 75506640 is about 422.6637951333.

The spelling of 75506640 in words is "seventy-five million, five hundred six thousand, six hundred forty".