72050 has 24 divisors (see below), whose sum is σ = 147312. Its totient is φ = 26000.

The previous prime is 72047. The next prime is 72053. The reversal of 72050 is 5027.

It is an interprime number because it is at equal distance from previous prime (72047) and next prime (72053).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2⁷²⁰⁵⁰ is an apocalyptic number.

72050 is an abundant number, since it is smaller than the sum of its proper divisors (75262).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656).

72050 is a wasteful number, since it uses less digits than its factorization.

72050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 72050 is about 268.4213106294. The cubic root of 72050 is about 41.6113042504.

Adding to 72050 its reverse (5027), we get a palindrome (77077).

The spelling of 72050 in words is "seventy-two thousand, fifty".