75727872 has 220 divisors, whose sum is σ = 249668496. Its totient is φ = 22671360.

The previous prime is 75727849. The next prime is 75727907. The reversal of 75727872 is 27872757.

It is a happy number.

75727872 is a `hidden beast` number, since 7 + 572 + 7 + 8 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912343 + ... + 912425.

Almost surely, 2^75727872 is an apocalyptic number.

75727872 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 75727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124834248).

75727872 is an abundant number, since it is smaller than the sum of its proper divisors (173940624).

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

75727872 is a wasteful number, since it uses less digits than its factorization.

75727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 75727872 is about 8702.1762795292. The cubic root of 75727872 is about 423.0761896864.

The spelling of 75727872 in words is "seventy-five million, seven hundred twenty-seven thousand, eight hundred seventy-two".