72712818 has 24 divisors (see below), whose sum is σ = 159705468. Its totient is φ = 23905152.

The previous prime is 72712817. The next prime is 72712819. The reversal of 72712818 is 81821727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72712817) and next prime (72712819).

It can be written as a sum of positive squares in 2 ways, for example, as 72641529 + 71289 = 8523^2 + 267^2 .

It is a super-3 number, since 3×72712818³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (72712811) 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 11 ways as a sum of consecutive naturals, for example, 26355 + ... + 28982.

Almost surely, 2^72712818 is an apocalyptic number.

72712818 is an abundant number, since it is smaller than the sum of its proper divisors (86992650).

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

72712818 is a wasteful number, since it uses less digits than its factorization.

72712818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55418 (or 55415 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 72712818 is about 8527.1811286028. The cubic root of 72712818 is about 417.3851487062.

It can be divided in two parts, 72 and 712818, that multiplied together give a square (51322896 = 7164²).

The spelling of 72712818 in words is "seventy-two million, seven hundred twelve thousand, eight hundred eighteen".