72023733 has 24 divisors (see below), whose sum is σ = 108669600. Its totient is φ = 45909024.

The previous prime is 72023723. The next prime is 72023759. The reversal of 72023733 is 33732027.

It is a happy number.

It is not a de Polignac number, because 72023733 - 2⁴ = 72023717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72023697 and 72023706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72023723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26638 + ... + 29216.

It is an arithmetic number, because the mean of its divisors is an integer number (4527900).

Almost surely, 2^72023733 is an apocalyptic number.

It is an amenable number.

72023733 is a deficient number, since it is larger than the sum of its proper divisors (36645867).

72023733 is a wasteful number, since it uses less digits than its factorization.

72023733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 72023733 is about 8486.6797394505. The cubic root of 72023733 is about 416.0624694309.

The spelling of 72023733 in words is "seventy-two million, twenty-three thousand, seven hundred thirty-three".