72199296 has 128 divisors (see below), whose sum is σ = 229622400. Its totient is φ = 22201344.

The previous prime is 72199273. The next prime is 72199307. The reversal of 72199296 is 69299127.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44125 + ... + 45731.

It is an arithmetic number, because the mean of its divisors is an integer number (1793925).

Almost surely, 2^72199296 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 72199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114811200).

72199296 is an abundant number, since it is smaller than the sum of its proper divisors (157423104).

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

72199296 is a wasteful number, since it uses less digits than its factorization.

72199296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1625 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 72199296 is about 8497.0168882967. The cubic root of 72199296 is about 416.4002557947.

The spelling of 72199296 in words is "seventy-two million, one hundred ninety-nine thousand, two hundred ninety-six".