72868096 has 108 divisors (see below), whose sum is σ = 174878508. Its totient is φ = 30191616.

The previous prime is 72868093. The next prime is 72868121. The reversal of 72868096 is 69086827.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 27709696 = 6720^2 + 5264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72868091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464050 + ... + 464206.

Almost surely, 2^72868096 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 72868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87439254).

72868096 is an abundant number, since it is smaller than the sum of its proper divisors (102010412).

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

72868096 is a wasteful number, since it uses less digits than its factorization.

72868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 72868096 is about 8536.2811575065. The cubic root of 72868096 is about 417.6820457008.

The spelling of 72868096 in words is "seventy-two million, eight hundred sixty-eight thousand, ninety-six".