72379683 has 32 divisors (see below), whose sum is σ = 113600000. Its totient is φ = 45419616.

The previous prime is 72379651. The next prime is 72379709. The reversal of 72379683 is 38697327.

It is a happy number.

It is not a de Polignac number, because 72379683 - 2⁵ = 72379651 is a prime.

It is a super-2 number, since 2×72379683² = 10477637022360978, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72379633) 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 31 ways as a sum of consecutive naturals, for example, 101733 + ... + 102441.

It is an arithmetic number, because the mean of its divisors is an integer number (3550000).

Almost surely, 2^72379683 is an apocalyptic number.

72379683 is a deficient number, since it is larger than the sum of its proper divisors (41220317).

72379683 is a wasteful number, since it uses less digits than its factorization.

72379683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 72379683 is about 8507.6249917354. The cubic root of 72379683 is about 416.7467537433.

The spelling of 72379683 in words is "seventy-two million, three hundred seventy-nine thousand, six hundred eighty-three".