72024917 has 8 divisors (see below), whose sum is σ = 72762624. Its totient is φ = 71291248.

The previous prime is 72024859. The next prime is 72024919. The reversal of 72024917 is 71942027.

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 72024917 - 2¹⁰ = 72023893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72024919) 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, 44708 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (9095328).

Almost surely, 2^72024917 is an apocalyptic number.

It is an amenable number.

72024917 is a deficient number, since it is larger than the sum of its proper divisors (737707).

72024917 is a wasteful number, since it uses less digits than its factorization.

72024917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 72024917 is about 8486.7494955371. The cubic root of 72024917 is about 416.0647493057.

The spelling of 72024917 in words is "seventy-two million, twenty-four thousand, nine hundred seventeen".