72218268 has 36 divisors (see below), whose sum is σ = 182855400. Its totient is φ = 24032736.

The previous prime is 72218233. The next prime is 72218269. The reversal of 72218268 is 86281227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72218269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27058 + ... + 29606.

Almost surely, 2^72218268 is an apocalyptic number.

It is an amenable number.

72218268 is an abundant number, since it is smaller than the sum of its proper divisors (110637132).

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

72218268 is a wasteful number, since it uses less digits than its factorization.

72218268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3341 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 72218268 is about 8498.1332067696. The cubic root of 72218268 is about 416.4367254660.

The spelling of 72218268 in words is "seventy-two million, two hundred eighteen thousand, two hundred sixty-eight".