76672344 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 21026304.

The previous prime is 76672333. The next prime is 76672361. The reversal of 76672344 is 44327667.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703362 + ... + 703470.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^76672344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76672344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

76672344 is an abundant number, since it is smaller than the sum of its proper divisors (151423656).

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

76672344 is a wasteful number, since it uses less digits than its factorization.

76672344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 76672344 is about 8756.2745502868. The cubic root of 76672344 is about 424.8277853588.

It can be divided in two parts, 7667 and 2344, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 76672344 in words is "seventy-six million, six hundred seventy-two thousand, three hundred forty-four".