72833240 has 32 divisors (see below), whose sum is σ = 164399760. Its totient is φ = 29040000.

The previous prime is 72833227. The next prime is 72833263. The reversal of 72833240 is 4233827.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10490 + ... + 15990.

Almost surely, 2^72833240 is an apocalyptic number.

It is an amenable number.

72833240 is an abundant number, since it is smaller than the sum of its proper divisors (91566520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72833240 is a wasteful number, since it uses less digits than its factorization.

72833240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 72833240 is about 8534.2392748270. The cubic root of 72833240 is about 417.6154365437.

The spelling of 72833240 in words is "seventy-two million, eight hundred thirty-three thousand, two hundred forty".