72348 has 12 divisors (see below), whose sum is σ = 168840. Its totient is φ = 24112.

The previous prime is 72341. The next prime is 72353. The reversal of 72348 is 84327.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341) 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, 3003 + ... + 3026.

It is an arithmetic number, because the mean of its divisors is an integer number (14070).

2⁷²³⁴⁸ is an apocalyptic number.

It is an amenable number.

72348 is an abundant number, since it is smaller than the sum of its proper divisors (96492).

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 (84420).

72348 is a wasteful number, since it uses less digits than its factorization.

72348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6034 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 72348 is about 268.9758353459. The cubic root of 72348 is about 41.6685936887.

The spelling of 72348 in words is "seventy-two thousand, three hundred forty-eight".