75538512 has 120 divisors (see below), whose sum is σ = 243811776. Its totient is φ = 21385728.

The previous prime is 75538511. The next prime is 75538517. The reversal of 75538512 is 21583557.

75538512 is a `hidden beast` number, since 75 + 538 + 51 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75538511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137823 + ... + 138369.

Almost surely, 2^75538512 is an apocalyptic number.

75538512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75538512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121905888).

75538512 is an abundant number, since it is smaller than the sum of its proper divisors (168273264).

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

75538512 is a wasteful number, since it uses less digits than its factorization.

75538512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 75538512 is about 8691.2894325296. The cubic root of 75538512 is about 422.7232567714.

The spelling of 75538512 in words is "seventy-five million, five hundred thirty-eight thousand, five hundred twelve".