72584701 has 8 divisors (see below), whose sum is σ = 83166080. Its totient is φ = 62056368.

The previous prime is 72584683. The next prime is 72584737. The reversal of 72584701 is 10748527.

It is a happy number.

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 72584701 - 2¹³ = 72576509 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 (72584741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10281 + ... + 15838.

It is an arithmetic number, because the mean of its divisors is an integer number (10395760).

Almost surely, 2^72584701 is an apocalyptic number.

It is an amenable number.

72584701 is a deficient number, since it is larger than the sum of its proper divisors (10581379).

72584701 is a wasteful number, since it uses less digits than its factorization.

72584701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26523.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 72584701 is about 8519.6655450786. The cubic root of 72584701 is about 417.1398660919.

The spelling of 72584701 in words is "seventy-two million, five hundred eighty-four thousand, seven hundred one".