75038920 has 64 divisors (see below), whose sum is σ = 185328000. Its totient is φ = 27118080.

The previous prime is 75038917. The next prime is 75038927. The reversal of 75038920 is 2983057.

It is not an unprimeable number, because it can be changed into a prime (75038927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87132 + ... + 87988.

It is an arithmetic number, because the mean of its divisors is an integer number (2895750).

Almost surely, 2^75038920 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 75038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664000).

75038920 is an abundant number, since it is smaller than the sum of its proper divisors (110289080).

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

75038920 is a wasteful number, since it uses less digits than its factorization.

75038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 75038920 is about 8662.5007936508. The cubic root of 75038920 is about 421.7892675903.

The spelling of 75038920 in words is "seventy-five million, thirty-eight thousand, nine hundred twenty".