72850 has 24 divisors (see below), whose sum is σ = 142848. Its totient is φ = 27600.

The previous prime is 72823. The next prime is 72859. The reversal of 72850 is 5827.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1527 + ... + 1573.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁷²⁸⁵⁰ is an apocalyptic number.

72850 is a deficient number, since it is larger than the sum of its proper divisors (69998).

72850 is a wasteful number, since it uses less digits than its factorization.

72850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72850 is about 269.9073915253. The cubic root of 72850 is about 41.7647467239.

The spelling of 72850 in words is "seventy-two thousand, eight hundred fifty".