75038352 has 80 divisors (see below), whose sum is σ = 201891840. Its totient is φ = 23990400.

The previous prime is 75038339. The next prime is 75038363. The reversal of 75038352 is 25383057.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313849 + ... + 314087.

It is an arithmetic number, because the mean of its divisors is an integer number (2523648).

Almost surely, 2^75038352 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 75038352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100945920).

75038352 is an abundant number, since it is smaller than the sum of its proper divisors (126853488).

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

75038352 is a wasteful number, since it uses less digits than its factorization.

75038352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

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

The square root of 75038352 is about 8662.4680085989. The cubic root of 75038352 is about 421.7882033563.

The spelling of 75038352 in words is "seventy-five million, thirty-eight thousand, three hundred fifty-two".