72548 has 12 divisors (see below), whose sum is σ = 145152. Its totient is φ = 31080.

The previous prime is 72547. The next prime is 72551. The reversal of 72548 is 84527.

72548 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72548.

It is not an unprimeable number, because it can be changed into a prime (72547) 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, 1268 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2⁷²⁵⁴⁸ is an apocalyptic number.

It is an amenable number.

72548 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 (72576).

72548 is a wasteful number, since it uses less digits than its factorization.

72548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2600 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 72548 is about 269.3473593708. The cubic root of 72548 is about 41.7069548100.

The spelling of 72548 in words is "seventy-two thousand, five hundred forty-eight".