72117233 has 4 divisors (see below), whose sum is σ = 72184308. Its totient is φ = 72050160.

The previous prime is 72117209. The next prime is 72117239. The reversal of 72117233 is 33271127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33271127 = 331 ⋅100517.

It can be written as a sum of positive squares in 2 ways, for example, as 66129424 + 5987809 = 8132^2 + 2447^2 .

It is a cyclic number.

It is not a de Polignac number, because 72117233 - 2¹⁴ = 72100849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72117239) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31898 + ... + 34083.

It is an arithmetic number, because the mean of its divisors is an integer number (18046077).

Almost surely, 2^72117233 is an apocalyptic number.

It is an amenable number.

72117233 is a deficient number, since it is larger than the sum of its proper divisors (67075).

72117233 is a wasteful number, since it uses less digits than its factorization.

72117233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67074.

The product of its digits is 1764, while the sum is 26.

The square root of 72117233 is about 8492.1865853265. The cubic root of 72117233 is about 416.2424333470.

The spelling of 72117233 in words is "seventy-two million, one hundred seventeen thousand, two hundred thirty-three".