72148131 has 16 divisors (see below), whose sum is σ = 116603520. Its totient is φ = 43725960.

The previous prime is 72148123. The next prime is 72148169. The reversal of 72148131 is 13184127.

It is not a de Polignac number, because 72148131 - 2³ = 72148123 is a prime.

It is a super-2 number, since 2×72148131² = 10410705613586322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72148095 and 72148104.

It is not an unprimeable number, because it can be changed into a prime (72148121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121165 + ... + 121758.

It is an arithmetic number, because the mean of its divisors is an integer number (7287720).

Almost surely, 2^72148131 is an apocalyptic number.

72148131 is a deficient number, since it is larger than the sum of its proper divisors (44455389).

72148131 is a wasteful number, since it uses less digits than its factorization.

72148131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242943 (or 242937 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 72148131 is about 8494.0055921809. The cubic root of 72148131 is about 416.3018700071.

The spelling of 72148131 in words is "seventy-two million, one hundred forty-eight thousand, one hundred thirty-one".