76741728 has 48 divisors (see below), whose sum is σ = 230227200. Its totient is φ = 21926016.

The previous prime is 76741669. The next prime is 76741739. The reversal of 76741728 is 82714767.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76741728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56428 + ... + 57771.

It is an arithmetic number, because the mean of its divisors is an integer number (4796400).

Almost surely, 2^76741728 is an apocalyptic number.

It is an amenable number.

76741728 is an abundant number, since it is smaller than the sum of its proper divisors (153485472).

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

76741728 is a wasteful number, since it uses less digits than its factorization.

76741728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114219 (or 114211 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 76741728 is about 8760.2356132698. The cubic root of 76741728 is about 424.9558948464.

The spelling of 76741728 in words is "seventy-six million, seven hundred forty-one thousand, seven hundred twenty-eight".