76249728 has 64 divisors (see below), whose sum is σ = 225052800. Its totient is φ = 25415424.

The previous prime is 76249681. The next prime is 76249753. The reversal of 76249728 is 82794267.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7576 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (3516450).

Almost surely, 2^76249728 is an apocalyptic number.

It is an amenable number.

76249728 is an abundant number, since it is smaller than the sum of its proper divisors (148803072).

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

76249728 is a wasteful number, since it uses less digits than its factorization.

76249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22086 (or 22068 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76249728 is about 8732.1090235979. The cubic root of 76249728 is about 424.0458002026.

The spelling of 76249728 in words is "seventy-six million, two hundred forty-nine thousand, seven hundred twenty-eight".