75282660 has 72 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 19829568.

The previous prime is 75282653. The next prime is 75282667. The reversal of 75282660 is 6628257.

It is an interprime number because it is at equal distance from previous prime (75282653) and next prime (75282667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75282667) 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, 12421 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^75282660 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 75282660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

75282660 is an abundant number, since it is smaller than the sum of its proper divisors (155871900).

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

75282660 is a wasteful number, since it uses less digits than its factorization.

75282660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 75282660 is about 8676.5580733376. The cubic root of 75282660 is about 422.2454566572.

The spelling of 75282660 in words is "seventy-five million, two hundred eighty-two thousand, six hundred sixty".