72819376 has 40 divisors (see below), whose sum is σ = 161909280. Its totient is φ = 31079424.

The previous prime is 72819353. The next prime is 72819389. The reversal of 72819376 is 67391827.

It is a happy number.

It is a congruent number.

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, 28920 + ... + 31336.

It is an arithmetic number, because the mean of its divisors is an integer number (4047732).

Almost surely, 2^72819376 is an apocalyptic number.

It is an amenable number.

72819376 is an abundant number, since it is smaller than the sum of its proper divisors (89089904).

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

72819376 is a wasteful number, since it uses less digits than its factorization.

72819376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2695 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 72819376 is about 8533.4269786528. The cubic root of 72819376 is about 417.5889367943.

The spelling of 72819376 in words is "seventy-two million, eight hundred nineteen thousand, three hundred seventy-six".