72631300 has 144 divisors (see below), whose sum is σ = 195543040. Its totient is φ = 22861440.

The previous prime is 72631289. The next prime is 72631313. The reversal of 72631300 is 313627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571837 + ... + 571963.

Almost surely, 2^72631300 is an apocalyptic number.

72631300 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 72631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97771520).

72631300 is an abundant number, since it is smaller than the sum of its proper divisors (122911740).

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

72631300 is a wasteful number, since it uses less digits than its factorization.

72631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 72631300 is about 8522.3998967427. The cubic root of 72631300 is about 417.2291142028.

Adding to 72631300 its reverse (313627), we get a palindrome (72944927).

The spelling of 72631300 in words is "seventy-two million, six hundred thirty-one thousand, three hundred".