65872302300 has 1080 divisors, whose sum is σ = 264008883600. Its totient is φ = 14143610880.

The previous prime is 65872302299. The next prime is 65872302319. The reversal of 65872302300 is 320327856.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 679095852 + ... + 679095948.

It is an arithmetic number, because the mean of its divisors is an integer number (244452670).

Almost surely, 2^65872302300 is an apocalyptic number.

65872302300 is a gapful number since it is divisible by the number (60) 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 65872302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132004441800).

65872302300 is an abundant number, since it is smaller than the sum of its proper divisors (198136581300).

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

65872302300 is a wasteful number, since it uses less digits than its factorization.

65872302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 65872302300 its sum of digits (36), we get a square (65872302336 = 256656²).

The spelling of 65872302300 in words is "sixty-five billion, eight hundred seventy-two million, three hundred two thousand, three hundred".