72903336 has 64 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 21988800.

The previous prime is 72903331. The next prime is 72903359. The reversal of 72903336 is 63330927.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72903297 and 72903306.

It is not an unprimeable number, because it can be changed into a prime (72903331) 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 15 ways as a sum of consecutive naturals, for example, 71035 + ... + 72053.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^72903336 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 72903336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99878400).

72903336 is an abundant number, since it is smaller than the sum of its proper divisors (126853464).

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

72903336 is a wasteful number, since it uses less digits than its factorization.

72903336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 72903336 is about 8538.3450387063. The cubic root of 72903336 is about 417.7493670845.

The spelling of 72903336 in words is "seventy-two million, nine hundred three thousand, three hundred thirty-six".