75563832 has 64 divisors (see below), whose sum is σ = 198190080. Its totient is φ = 23962752.

The previous prime is 75563797. The next prime is 75563867. The reversal of 75563832 is 23836557.

It is an interprime number because it is at equal distance from previous prime (75563797) and next prime (75563867).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 202398 + ... + 202770.

It is an arithmetic number, because the mean of its divisors is an integer number (3096720).

Almost surely, 2^75563832 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 75563832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99095040).

75563832 is an abundant number, since it is smaller than the sum of its proper divisors (122626248).

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

75563832 is a wasteful number, since it uses less digits than its factorization.

75563832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 75563832 is about 8692.7459413007. The cubic root of 75563832 is about 422.7704828238.

The spelling of 75563832 in words is "seventy-five million, five hundred sixty-three thousand, eight hundred thirty-two".