75712320 has 280 divisors, whose sum is σ = 283244544. Its totient is φ = 19160064.

The previous prime is 75712309. The next prime is 75712331. The reversal of 75712320 is 2321757.

It is an interprime number because it is at equal distance from previous prime (75712309) and next prime (75712331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596097 + ... + 596223.

Almost surely, 2^75712320 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 75712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141622272).

75712320 is an abundant number, since it is smaller than the sum of its proper divisors (207532224).

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

75712320 is a wasteful number, since it uses less digits than its factorization.

75712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 75712320 is about 8701.2826640674. The cubic root of 75712320 is about 423.0472257519.

The spelling of 75712320 in words is "seventy-five million, seven hundred twelve thousand, three hundred twenty".