72948 has 12 divisors (see below), whose sum is σ = 170240. Its totient is φ = 24312.

The previous prime is 72937. The next prime is 72949. The reversal of 72948 is 84927.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949) by changing a digit.

72948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3028 + ... + 3051.

2⁷²⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

72948 is an abundant number, since it is smaller than the sum of its proper divisors (97292).

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 (85120).

72948 is a wasteful number, since it uses less digits than its factorization.

72948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6084 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 72948 is about 270.0888742618. The cubic root of 72948 is about 41.7834660615.

It can be divided in two parts, 729 and 48, that added together give a palindrome (777).

The spelling of 72948 in words is "seventy-two thousand, nine hundred forty-eight".