72501210 has 64 divisors (see below), whose sum is σ = 194261760. Its totient is φ = 19241280.

The previous prime is 72501199. The next prime is 72501229. The reversal of 72501210 is 1210527.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70500 + ... + 71520.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2^72501210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72501210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97130880).

72501210 is an abundant number, since it is smaller than the sum of its proper divisors (121760550).

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

72501210 is a wasteful number, since it uses less digits than its factorization.

72501210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 72501210 is about 8514.7642363133. The cubic root of 72501210 is about 416.9798654944.

Adding to 72501210 its reverse (1210527), we get a palindrome (73711737).

The spelling of 72501210 in words is "seventy-two million, five hundred one thousand, two hundred ten".