72299776 has 72 divisors (see below), whose sum is σ = 157285800. Its totient is φ = 33030144.

The previous prime is 72299761. The next prime is 72299779. The reversal of 72299776 is 67799227.

It can be written as a sum of positive squares in 4 ways, for example, as 38937600 + 33362176 = 6240^2 + 5776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72299779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160800 + ... + 161248.

It is an arithmetic number, because the mean of its divisors is an integer number (2184525).

Almost surely, 2^72299776 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 72299776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78642900).

72299776 is an abundant number, since it is smaller than the sum of its proper divisors (84986024).

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

72299776 is a wasteful number, since it uses less digits than its factorization.

72299776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its digits is 666792, while the sum is 49.

The square root of 72299776 is about 8502.9274958687. The cubic root of 72299776 is about 416.5933347924.

The spelling of 72299776 in words is "seventy-two million, two hundred ninety-nine thousand, seven hundred seventy-six".