72905000 has 80 divisors (see below), whose sum is σ = 195312480. Its totient is φ = 24984000.

The previous prime is 72904999. The next prime is 72905003. The reversal of 72905000 is 50927.

It is not an unprimeable number, because it can be changed into a prime (72905003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33959 + ... + 36041.

It is an arithmetic number, because the mean of its divisors is an integer number (2441406).

Almost surely, 2^72905000 is an apocalyptic number.

72905000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97656240).

72905000 is an abundant number, since it is smaller than the sum of its proper divisors (122407480).

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

72905000 is a wasteful number, since it uses less digits than its factorization.

72905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 72905000 is about 8538.4424809212. The cubic root of 72905000 is about 417.7525454011.

Adding to 72905000 its reverse (50927), we get a palindrome (72955927).

The spelling of 72905000 in words is "seventy-two million, nine hundred five thousand".