72258 has 8 divisors (see below), whose sum is σ = 144528. Its totient is φ = 24084.

The previous prime is 72253. The next prime is 72269. The reversal of 72258 is 85227.

It is a sphenic number, since it is the product of 3 distinct primes.

72258 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (72251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6016 + ... + 6027.

It is an arithmetic number, because the mean of its divisors is an integer number (18066).

2⁷²²⁵⁸ is an apocalyptic number.

72258 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (72264).

72258 is a wasteful number, since it uses less digits than its factorization.

72258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12048.

The product of its digits is 1120, while the sum is 24.

The square root of 72258 is about 268.8084820090. The cubic root of 72258 is about 41.6513081172.

It can be divided in two parts, 722 and 58, that added together give a triangular number (780 = T₃₉).

The spelling of 72258 in words is "seventy-two thousand, two hundred fifty-eight".