72635000 has 80 divisors (see below), whose sum is σ = 173382000. Its totient is φ = 28512000.

The previous prime is 72634997. The next prime is 72635009. The reversal of 72635000 is 53627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72635009) 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 19 ways as a sum of consecutive naturals, for example, 364901 + ... + 365099.

It is an arithmetic number, because the mean of its divisors is an integer number (2167275).

Almost surely, 2^72635000 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 72635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86691000).

72635000 is an abundant number, since it is smaller than the sum of its proper divisors (100747000).

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

72635000 is a wasteful number, since it uses less digits than its factorization.

72635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72635000 is about 8522.6169689832. The cubic root of 72635000 is about 417.2361989423.

Adding to 72635000 its reverse (53627), we get a palindrome (72688627).

The spelling of 72635000 in words is "seventy-two million, six hundred thirty-five thousand".