72164033 has 4 divisors (see below), whose sum is σ = 75962160. Its totient is φ = 68365908.

The previous prime is 72164017. The next prime is 72164047. The reversal of 72164033 is 33046127.

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.

It is a cyclic number.

It is not a de Polignac number, because 72164033 - 2⁴ = 72164017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72163993 and 72164011.

It is not an unprimeable number, because it can be changed into a prime (72164003) 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, 1899035 + ... + 1899072.

It is an arithmetic number, because the mean of its divisors is an integer number (18990540).

Almost surely, 2^72164033 is an apocalyptic number.

It is an amenable number.

72164033 is a deficient number, since it is larger than the sum of its proper divisors (3798127).

72164033 is a wasteful number, since it uses less digits than its factorization.

72164033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798126.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 72164033 is about 8494.9416125127. The cubic root of 72164033 is about 416.3324531326.

The spelling of 72164033 in words is "seventy-two million, one hundred sixty-four thousand, thirty-three".