76016144 has 20 divisors (see below), whose sum is σ = 147511020. Its totient is φ = 37948800.

The previous prime is 76016113. The next prime is 76016147. The reversal of 76016144 is 44161067.

It can be written as a sum of positive squares in 2 ways, for example, as 19465744 + 56550400 = 4412^2 + 7520^2 .

It is not an unprimeable number, because it can be changed into a prime (76016147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7994 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (7375551).

Almost surely, 2^76016144 is an apocalyptic number.

It is an amenable number.

76016144 is a deficient number, since it is larger than the sum of its proper divisors (71494876).

76016144 is a wasteful number, since it uses less digits than its factorization.

76016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76016144 is about 8718.7237598171. The cubic root of 76016144 is about 423.6123489055.

The spelling of 76016144 in words is "seventy-six million, sixteen thousand, one hundred forty-four".