72613266 has 32 divisors (see below), whose sum is σ = 159694848. Its totient is φ = 21828240.

The previous prime is 72613259. The next prime is 72613267. The reversal of 72613266 is 66231627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72613267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051 + ... + 12713.

It is an arithmetic number, because the mean of its divisors is an integer number (4990464).

Almost surely, 2^72613266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72613266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79847424).

72613266 is an abundant number, since it is smaller than the sum of its proper divisors (87081582).

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

72613266 is a wasteful number, since it uses less digits than its factorization.

72613266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806.

The product of its digits is 18144, while the sum is 33.

The square root of 72613266 is about 8521.3417957502. The cubic root of 72613266 is about 417.1945793550.

The spelling of 72613266 in words is "seventy-two million, six hundred thirteen thousand, two hundred sixty-six".