72887607 has 28 divisors (see below), whose sum is σ = 117702984. Its totient is φ = 44848080.

The previous prime is 72887593. The next prime is 72887663. The reversal of 72887607 is 70678827.

It is not a de Polignac number, because 72887607 - 2¹⁵ = 72854839 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72887807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5632 + ... + 13322.

It is an arithmetic number, because the mean of its divisors is an integer number (4203678).

Almost surely, 2^72887607 is an apocalyptic number.

72887607 is a deficient number, since it is larger than the sum of its proper divisors (44815377).

72887607 is an equidigital number, since it uses as much as digits as its factorization.

72887607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 72887607 is about 8537.4239088849. The cubic root of 72887607 is about 417.7193215806.

The spelling of 72887607 in words is "seventy-two million, eight hundred eighty-seven thousand, six hundred seven".