72033987 has 16 divisors (see below), whose sum is σ = 101454848. Its totient is φ = 45390240.

The previous prime is 72033979. The next prime is 72033989. The reversal of 72033987 is 78933027.

It is not a de Polignac number, because 72033987 - 2³ = 72033979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72033989) 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, 5008 + ... + 13005.

It is an arithmetic number, because the mean of its divisors is an integer number (6340928).

Almost surely, 2^72033987 is an apocalyptic number.

72033987 is a deficient number, since it is larger than the sum of its proper divisors (29420861).

72033987 is a wasteful number, since it uses less digits than its factorization.

72033987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18090.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 72033987 is about 8487.2838411355. The cubic root of 72033987 is about 416.0822133956.

The spelling of 72033987 in words is "seventy-two million, thirty-three thousand, nine hundred eighty-seven".