72293232 has 80 divisors (see below), whose sum is σ = 212629248. Its totient is φ = 20951040.

The previous prime is 72293183. The next prime is 72293237. The reversal of 72293232 is 23239227.

It is a super-2 number, since 2×72293232² = 10452622786011648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72293232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72293237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9168 + ... + 15120.

Almost surely, 2^72293232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72293232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106314624).

72293232 is an abundant number, since it is smaller than the sum of its proper divisors (140336016).

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

72293232 is a wasteful number, since it uses less digits than its factorization.

72293232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5992 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 72293232 is about 8502.5426785168. The cubic root of 72293232 is about 416.5807655094.

The spelling of 72293232 in words is "seventy-two million, two hundred ninety-three thousand, two hundred thirty-two".