72292266 has 48 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 22482240.

The previous prime is 72292201. The next prime is 72292277. The reversal of 72292266 is 66229227.

It is a super-3 number, since 3×72292266³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72292266.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14845 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2^72292266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72292266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

72292266 is an abundant number, since it is smaller than the sum of its proper divisors (95176854).

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

72292266 is a wasteful number, since it uses less digits than its factorization.

72292266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4328 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72292266 is about 8502.4858717907. The cubic root of 72292266 is about 416.5789100161.

The spelling of 72292266 in words is "seventy-two million, two hundred ninety-two thousand, two hundred sixty-six".