76312144 has 20 divisors (see below), whose sum is σ = 148219060. Its totient is φ = 38062080.

The previous prime is 76312139. The next prime is 76312147. The reversal of 76312144 is 44121367.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 67240000 = 3012^2 + 8200^2 .

It is a super-3 number, since 3×76312144³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76312147) 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, 1072 + ... + 12400.

It is an arithmetic number, because the mean of its divisors is an integer number (7410953).

Almost surely, 2^76312144 is an apocalyptic number.

It is an amenable number.

76312144 is a deficient number, since it is larger than the sum of its proper divisors (71906916).

76312144 is a wasteful number, since it uses less digits than its factorization.

76312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758 (or 11752 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 76312144 is about 8735.6822286528. The cubic root of 76312144 is about 424.1614728520.

The spelling of 76312144 in words is "seventy-six million, three hundred twelve thousand, one hundred forty-four".