65072313600 has 864 divisors, whose sum is σ = 257612678400. Its totient is φ = 14450688000.

The previous prime is 65072313583. The next prime is 65072313619. The reversal of 65072313600 is 631327056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270009480 + ... + 270009720.

Almost surely, 2^65072313600 is an apocalyptic number.

65072313600 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 65072313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128806339200).

65072313600 is an abundant number, since it is smaller than the sum of its proper divisors (192540364800).

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

65072313600 is a wasteful number, since it uses less digits than its factorization.

65072313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 65072313600 in words is "sixty-five billion, seventy-two million, three hundred thirteen thousand, six hundred".