72386643 has 32 divisors (see below), whose sum is σ = 114573312. Its totient is φ = 39780000.

The previous prime is 72386641. The next prime is 72386653. The reversal of 72386643 is 34668327.

It is not a de Polignac number, because 72386643 - 2¹ = 72386641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72386641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163180 + ... + 163622.

It is an arithmetic number, because the mean of its divisors is an integer number (3580416).

Almost surely, 2^72386643 is an apocalyptic number.

72386643 is a deficient number, since it is larger than the sum of its proper divisors (42186669).

72386643 is a wasteful number, since it uses less digits than its factorization.

72386643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its digits is 145152, while the sum is 39.

The square root of 72386643 is about 8508.0340267303. The cubic root of 72386643 is about 416.7601113796.

The spelling of 72386643 in words is "seventy-two million, three hundred eighty-six thousand, six hundred forty-three".