73572618 has 48 divisors (see below), whose sum is σ = 172023264. Its totient is φ = 20916000.

The previous prime is 73572601. The next prime is 73572619. The reversal of 73572618 is 81627537.

Its product of digits (70560) is a multiple of the sum of its prime divisors (1260).

It is not an unprimeable number, because it can be changed into a prime (73572619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73296 + ... + 74292.

It is an arithmetic number, because the mean of its divisors is an integer number (3583818).

Almost surely, 2^73572618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73572618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86011632).

73572618 is an abundant number, since it is smaller than the sum of its proper divisors (98450646).

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

73572618 is a wasteful number, since it uses less digits than its factorization.

73572618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 73572618 is about 8577.4482219364. The cubic root of 73572618 is about 419.0238441061.

The spelling of 73572618 in words is "seventy-three million, five hundred seventy-two thousand, six hundred eighteen".