72349776 has 30 divisors (see below), whose sum is σ = 202479290. Its totient is φ = 24116544.

The previous prime is 72349759. The next prime is 72349787. The reversal of 72349776 is 67794327.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65999376 + 6350400 = 8124^2 + 2520^2 .

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 5 ways as a sum of consecutive naturals, for example, 251071 + ... + 251358.

Almost surely, 2^72349776 is an apocalyptic number.

It is an amenable number.

72349776 is an abundant number, since it is smaller than the sum of its proper divisors (130129514).

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

72349776 is a wasteful number, since it uses less digits than its factorization.

72349776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502443 (or 502434 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 72349776 is about 8505.8671515607. The cubic root of 72349776 is about 416.6893464633.

The spelling of 72349776 in words is "seventy-two million, three hundred forty-nine thousand, seven hundred seventy-six".