72193823 has 16 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 64182240.

The previous prime is 72193819. The next prime is 72193837. The reversal of 72193823 is 32839127.

It is a cyclic number.

It is not a de Polignac number, because 72193823 - 2² = 72193819 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72193843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144428 + ... + 144926.

It is an arithmetic number, because the mean of its divisors is an integer number (5040000).

Almost surely, 2^72193823 is an apocalyptic number.

72193823 is a deficient number, since it is larger than the sum of its proper divisors (8446177).

72193823 is a wasteful number, since it uses less digits than its factorization.

72193823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902.

The product of its digits is 18144, while the sum is 35.

The square root of 72193823 is about 8496.6948279905. The cubic root of 72193823 is about 416.3897339184.

The spelling of 72193823 in words is "seventy-two million, one hundred ninety-three thousand, eight hundred twenty-three".