72903072 has 192 divisors, whose sum is σ = 229920768. Its totient is φ = 19968000.

The previous prime is 72903011. The next prime is 72903079. The reversal of 72903072 is 27030927.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72903079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556447 + ... + 556577.

It is an arithmetic number, because the mean of its divisors is an integer number (1197504).

Almost surely, 2^72903072 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 72903072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

72903072 is an abundant number, since it is smaller than the sum of its proper divisors (157017696).

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

72903072 is a wasteful number, since it uses less digits than its factorization.

72903072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 72903072 is about 8538.3295790219. The cubic root of 72903072 is about 417.7488628279.

Adding to 72903072 its reverse (27030927), we get a palindrome (99933999).

The spelling of 72903072 in words is "seventy-two million, nine hundred three thousand, seventy-two".