75384736 has 72 divisors (see below), whose sum is σ = 174436416. Its totient is φ = 31973760.

The previous prime is 75384721. The next prime is 75384763. The reversal of 75384736 is 63748357.

It is a junction number, because it is equal to n+sod(n) for n = 75384692 and 75384701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205225 + ... + 205591.

It is an arithmetic number, because the mean of its divisors is an integer number (2422728).

Almost surely, 2^75384736 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 75384736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87218208).

75384736 is an abundant number, since it is smaller than the sum of its proper divisors (99051680).

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

75384736 is a wasteful number, since it uses less digits than its factorization.

75384736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 75384736 is about 8682.4383671870. The cubic root of 75384736 is about 422.4362117907.

The spelling of 75384736 in words is "seventy-five million, three hundred eighty-four thousand, seven hundred thirty-six".