72087933 has 16 divisors (see below), whose sum is σ = 98413056. Its totient is φ = 46924080.

The previous prime is 72087923. The next prime is 72087937. The reversal of 72087933 is 33978027.

It is not a de Polignac number, because 72087933 - 2⁵ = 72087901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72087891 and 72087900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72087937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21210 + ... + 24372.

It is an arithmetic number, because the mean of its divisors is an integer number (6150816).

Almost surely, 2^72087933 is an apocalyptic number.

It is an amenable number.

72087933 is a deficient number, since it is larger than the sum of its proper divisors (26325123).

72087933 is a wasteful number, since it uses less digits than its factorization.

72087933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344.

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

The square root of 72087933 is about 8490.4612948885. The cubic root of 72087933 is about 416.1860549807.

The spelling of 72087933 in words is "seventy-two million, eighty-seven thousand, nine hundred thirty-three".