72365123 has 8 divisors (see below), whose sum is σ = 74341680. Its totient is φ = 70398720.

The previous prime is 72365113. The next prime is 72365143. The reversal of 72365123 is 32156327.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72365123 - 2¹⁶ = 72299587 is a prime.

It is a super-2 number, since 2×72365123² = 10473422053610258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72365113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13211 + ... + 17867.

It is an arithmetic number, because the mean of its divisors is an integer number (9292710).

Almost surely, 2^72365123 is an apocalyptic number.

72365123 is a deficient number, since it is larger than the sum of its proper divisors (1976557).

72365123 is a wasteful number, since it uses less digits than its factorization.

72365123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077.

The product of its digits is 7560, while the sum is 29.

The square root of 72365123 is about 8506.7692457243. The cubic root of 72365123 is about 416.7188074127.

The spelling of 72365123 in words is "seventy-two million, three hundred sixty-five thousand, one hundred twenty-three".