72286992 has 150 divisors (see below), whose sum is σ = 223402058. Its totient is φ = 22560768.

The previous prime is 72286967. The next prime is 72286997. The reversal of 72286992 is 29968227.

It can be written as a sum of positive squares in 3 ways, for example, as 19927296 + 52359696 = 4464^2 + 7236^2 .

It is not an unprimeable number, because it can be changed into a prime (72286997) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 374448 + ... + 374640.

Almost surely, 2^72286992 is an apocalyptic number.

72286992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72286992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111701029).

72286992 is an abundant number, since it is smaller than the sum of its proper divisors (151115066).

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

72286992 is a wasteful number, since it uses less digits than its factorization.

72286992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 72286992 is about 8502.1757215433. The cubic root of 72286992 is about 416.5687794230.

The spelling of 72286992 in words is "seventy-two million, two hundred eighty-six thousand, nine hundred ninety-two".