72288916 has 36 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 30802800.

The previous prime is 72288899. The next prime is 72288919. The reversal of 72288916 is 61988227.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72288919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36471 + ... + 38401.

It is an arithmetic number, because the mean of its divisors is an integer number (4111296).

Almost surely, 2^72288916 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 72288916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74003328).

72288916 is an abundant number, since it is smaller than the sum of its proper divisors (75717740).

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

72288916 is a wasteful number, since it uses less digits than its factorization.

72288916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2131 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The square root of 72288916 is about 8502.2888682989. The cubic root of 72288916 is about 416.5724752065.

The spelling of 72288916 in words is "seventy-two million, two hundred eighty-eight thousand, nine hundred sixteen".