72148 has 12 divisors (see below), whose sum is σ = 133812. Its totient is φ = 33920.

The previous prime is 72139. The next prime is 72161. The reversal of 72148 is 84127.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 20164 = 228^2 + 142^2 .

72148 is a modest number, since divided by 148 gives 72 as remainder.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463 + ... + 598.

It is an arithmetic number, because the mean of its divisors is an integer number (11151).

2⁷²¹⁴⁸ is an apocalyptic number.

It is an amenable number.

72148 is a deficient number, since it is larger than the sum of its proper divisors (61664).

72148 is a wasteful number, since it uses less digits than its factorization.

72148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 72148 is about 268.6037974415. The cubic root of 72148 is about 41.6301618046.

The spelling of 72148 in words is "seventy-two thousand, one hundred forty-eight".