72385687 has 16 divisors (see below), whose sum is σ = 84902400. Its totient is φ = 61007040.

The previous prime is 72385681. The next prime is 72385693. The reversal of 72385687 is 78658327.

It is an interprime number because it is at equal distance from previous prime (72385681) and next prime (72385693).

It is a cyclic number.

It is not a de Polignac number, because 72385687 - 2³ = 72385679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72385681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6139 + ... + 13507.

It is an arithmetic number, because the mean of its divisors is an integer number (5306400).

Almost surely, 2^72385687 is an apocalyptic number.

72385687 is a deficient number, since it is larger than the sum of its proper divisors (12516713).

72385687 is a wasteful number, since it uses less digits than its factorization.

72385687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446.

The product of its digits is 564480, while the sum is 46.

The square root of 72385687 is about 8507.9778443529. The cubic root of 72385687 is about 416.7582766746.

The spelling of 72385687 in words is "seventy-two million, three hundred eighty-five thousand, six hundred eighty-seven".