72563166 has 72 divisors (see below), whose sum is σ = 178902360. Its totient is φ = 21127392.

The previous prime is 72563131. The next prime is 72563167. The reversal of 72563166 is 66136527.

It is a self number, because there is not a number n which added to its sum of digits gives 72563166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72563167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84045 + ... + 84903.

It is an arithmetic number, because the mean of its divisors is an integer number (2484755).

Almost surely, 2^72563166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72563166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89451180).

72563166 is an abundant number, since it is smaller than the sum of its proper divisors (106339194).

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

72563166 is a wasteful number, since it uses less digits than its factorization.

72563166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 896 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 72563166 is about 8518.4016106310. The cubic root of 72563166 is about 417.0986085659.

The spelling of 72563166 in words is "seventy-two million, five hundred sixty-three thousand, one hundred sixty-six".