72800834 has 32 divisors (see below), whose sum is σ = 120268800. Its totient is φ = 33015360.

The previous prime is 72800801. The next prime is 72800839. The reversal of 72800834 is 43800827.

It is a super-2 number, since 2×72800834² = 10599922862191112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72800834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800839) 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, 304487 + ... + 304725.

It is an arithmetic number, because the mean of its divisors is an integer number (3758400).

Almost surely, 2^72800834 is an apocalyptic number.

72800834 is a deficient number, since it is larger than the sum of its proper divisors (47467966).

72800834 is a wasteful number, since it uses less digits than its factorization.

72800834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 72800834 is about 8532.3404760945. The cubic root of 72800834 is about 417.5534902242.

The spelling of 72800834 in words is "seventy-two million, eight hundred thousand, eight hundred thirty-four".