75566016 has 84 divisors (see below), whose sum is σ = 218513152. Its totient is φ = 24966144.

The previous prime is 75566009. The next prime is 75566033. The reversal of 75566016 is 61066557.

It is a happy number.

It is a super-2 number, since 2×75566016² = 11420445548224512, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 72636 + ... + 73668.

Almost surely, 2^75566016 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 75566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109256576).

75566016 is an abundant number, since it is smaller than the sum of its proper divisors (142947136).

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

75566016 is a wasteful number, since it uses less digits than its factorization.

75566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75566016 is about 8692.8715623780. The cubic root of 75566016 is about 422.7745558563.

The spelling of 75566016 in words is "seventy-five million, five hundred sixty-six thousand, sixteen".