72508833 has 6 divisors (see below), whose sum is σ = 104734994. Its totient is φ = 48339216.

The previous prime is 72508831. The next prime is 72508853. The reversal of 72508833 is 33880527.

72508833 is a `hidden beast` number, since 72 + 508 + 83 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50296464 + 22212369 = 7092^2 + 4713^2 .

It is not a de Polignac number, because 72508833 - 2¹ = 72508831 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72508831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4028260 + ... + 4028277.

Almost surely, 2^72508833 is an apocalyptic number.

It is an amenable number.

72508833 is a deficient number, since it is larger than the sum of its proper divisors (32226161).

72508833 is a wasteful number, since it uses less digits than its factorization.

72508833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056543 (or 8056540 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72508833 is about 8515.2118587854. The cubic root of 72508833 is about 416.9944791637.

The spelling of 72508833 in words is "seventy-two million, five hundred eight thousand, eight hundred thirty-three".