72268040 has 32 divisors (see below), whose sum is σ = 175112280. Its totient is φ = 26683392.

The previous prime is 72268033. The next prime is 72268043. The reversal of 72268040 is 4086227.

It can be written as a sum of positive squares in 4 ways, for example, as 19589476 + 52678564 = 4426^2 + 7258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72267994 and 72268012.

It is not an unprimeable number, because it can be changed into a prime (72268043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68969 + ... + 70008.

Almost surely, 2^72268040 is an apocalyptic number.

It is an amenable number.

72268040 is an abundant number, since it is smaller than the sum of its proper divisors (102844240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72268040 is a wasteful number, since it uses less digits than its factorization.

72268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139001 (or 138997 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 72268040 is about 8501.0611102379. The cubic root of 72268040 is about 416.5323712978.

The spelling of 72268040 in words is "seventy-two million, two hundred sixty-eight thousand, forty".