72207618 has 48 divisors (see below), whose sum is σ = 170637120. Its totient is φ = 19954080.

The previous prime is 72207613. The next prime is 72207637. The reversal of 72207618 is 81670227.

It is not an unprimeable number, because it can be changed into a prime (72207613) 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 23 ways as a sum of consecutive naturals, for example, 39468 + ... + 41256.

It is an arithmetic number, because the mean of its divisors is an integer number (3554940).

Almost surely, 2^72207618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72207618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85318560).

72207618 is an abundant number, since it is smaller than the sum of its proper divisors (98429502).

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

72207618 is a wasteful number, since it uses less digits than its factorization.

72207618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72207618 is about 8497.5065754608. The cubic root of 72207618 is about 416.4162538722.

It can be divided in two parts, 72 and 207618, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 72207618 in words is "seventy-two million, two hundred seven thousand, six hundred eighteen".