72058033 has 8 divisors (see below), whose sum is σ = 74753280. Its totient is φ = 69407520.

The previous prime is 72058009. The next prime is 72058037. The reversal of 72058033 is 33085027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72058033 - 2⁵ = 72058001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72057992 and 72058010.

It is not an unprimeable number, because it can be changed into a prime (72058037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7885 + ... + 14362.

It is an arithmetic number, because the mean of its divisors is an integer number (9344160).

Almost surely, 2^72058033 is an apocalyptic number.

It is an amenable number.

72058033 is a deficient number, since it is larger than the sum of its proper divisors (2695247).

72058033 is a wasteful number, since it uses less digits than its factorization.

72058033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22367.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72058033 is about 8488.7003127687. The cubic root of 72058033 is about 416.1285063574.

The spelling of 72058033 in words is "seventy-two million, fifty-eight thousand, thirty-three".