75538320 has 320 divisors, whose sum is σ = 287981568. Its totient is φ = 16128000.

The previous prime is 75538297. The next prime is 75538321. The reversal of 75538320 is 2383557.

75538320 = T₂₈₅ + T₂₈₆ + ... + T₇₈₀.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (75538321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063885 + ... + 1063955.

Almost surely, 2^75538320 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 75538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

75538320 is an abundant number, since it is smaller than the sum of its proper divisors (212443248).

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

75538320 is a wasteful number, since it uses less digits than its factorization.

75538320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

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

The square root of 75538320 is about 8691.2783869808. The cubic root of 75538320 is about 422.7228986188.

The spelling of 75538320 in words is "seventy-five million, five hundred thirty-eight thousand, three hundred twenty".