75338424 has 160 divisors (see below), whose sum is σ = 255610080. Its totient is φ = 20238336.

The previous prime is 75338399. The next prime is 75338447. The reversal of 75338424 is 42483357.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 76624 + ... + 77600.

It is an arithmetic number, because the mean of its divisors is an integer number (1597563).

Almost surely, 2^75338424 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 75338424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127805040).

75338424 is an abundant number, since it is smaller than the sum of its proper divisors (180271656).

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

75338424 is a wasteful number, since it uses less digits than its factorization.

75338424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1006 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 75338424 is about 8679.7709647202. The cubic root of 75338424 is about 422.3496873184.

The spelling of 75338424 in words is "seventy-five million, three hundred thirty-eight thousand, four hundred twenty-four".