72148036 has 27 divisors (see below), whose sum is σ = 131422557. Its totient is φ = 34655520.

The previous prime is 72148019. The next prime is 72148049. The reversal of 72148036 is 63084127.

The square root of 72148036 is 8494.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42380100 + 29767936 = 6510^2 + 5456^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72147989 and 72148007.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 526560 + ... + 526696.

Almost surely, 2^72148036 is an apocalyptic number.

72148036 is the 8494-th square number.

It is an amenable number.

72148036 is a deficient number, since it is larger than the sum of its proper divisors (59274521).

72148036 is a wasteful number, since it uses less digits than its factorization.

72148036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The cubic root of 72148036 is about 416.3016872873.

The spelling of 72148036 in words is "seventy-two million, one hundred forty-eight thousand, thirty-six".