72972233 has 4 divisors (see below), whose sum is σ = 75326208. Its totient is φ = 70618260.

The previous prime is 72972223. The next prime is 72972239. The reversal of 72972233 is 33227927.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33227927 = 787 ⋅42221.

It is a cyclic number.

It is not a de Polignac number, because 72972233 - 2¹⁴ = 72955849 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72972193 and 72972202.

It is not an unprimeable number, because it can be changed into a prime (72972239) 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, 1176941 + ... + 1177002.

It is an arithmetic number, because the mean of its divisors is an integer number (18831552).

Almost surely, 2^72972233 is an apocalyptic number.

It is an amenable number.

72972233 is a deficient number, since it is larger than the sum of its proper divisors (2353975).

72972233 is a wasteful number, since it uses less digits than its factorization.

72972233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353974.

The product of its digits is 31752, while the sum is 35.

The square root of 72972233 is about 8542.3786500014. The cubic root of 72972233 is about 417.8809230955.

The spelling of 72972233 in words is "seventy-two million, nine hundred seventy-two thousand, two hundred thirty-three".