72603210 has 64 divisors (see below), whose sum is σ = 181367424. Its totient is φ = 18585600.

The previous prime is 72603197. The next prime is 72603227. The reversal of 72603210 is 1230627.

It is a happy number.

It is a super-2 number, since 2×72603210² = 10542452204608200, which contains 22 as substring.

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, 81970 + ... + 82850.

It is an arithmetic number, because the mean of its divisors is an integer number (2833866).

Almost surely, 2^72603210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72603210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683712).

72603210 is an abundant number, since it is smaller than the sum of its proper divisors (108764214).

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

72603210 is a wasteful number, since it uses less digits than its factorization.

72603210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72603210 is about 8520.7517274006. The cubic root of 72603210 is about 417.1753197779.

Adding to 72603210 its reverse (1230627), we get a palindrome (73833837).

The spelling of 72603210 in words is "seventy-two million, six hundred three thousand, two hundred ten".