72887301 has 12 divisors (see below), whose sum is σ = 105573312. Its totient is φ = 48456936.

The previous prime is 72887281. The next prime is 72887333. The reversal of 72887301 is 10378827.

It is not a de Polignac number, because 72887301 - 2¹⁵ = 72854533 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72887341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7731 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (8797776).

Almost surely, 2^72887301 is an apocalyptic number.

It is an amenable number.

72887301 is a deficient number, since it is larger than the sum of its proper divisors (32686011).

72887301 is a wasteful number, since it uses less digits than its factorization.

72887301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22440 (or 22437 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 72887301 is about 8537.4059877694. The cubic root of 72887301 is about 417.7187370171.

The spelling of 72887301 in words is "seventy-two million, eight hundred eighty-seven thousand, three hundred one".