75496320 has 256 divisors, whose sum is σ = 284212800. Its totient is φ = 18874368.

The previous prime is 75496313. The next prime is 75496349. The reversal of 75496320 is 2369457.

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

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, 293632 + ... + 293888.

Almost surely, 2^75496320 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 75496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142106400).

75496320 is an abundant number, since it is smaller than the sum of its proper divisors (208716480).

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

75496320 is a wasteful number, since it uses less digits than its factorization.

75496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 75496320 is about 8688.8618357067. The cubic root of 75496320 is about 422.6445381554.

The spelling of 75496320 in words is "seventy-five million, four hundred ninety-six thousand, three hundred twenty".