72306563067200 has 336 divisors, whose sum is σ = 222262698276864. Its totient is φ = 22492285900800.

The previous prime is 72306563067107. The next prime is 72306563067223. The reversal of 72306563067200 is 276036560327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61386197 + ... + 62553003.

It is an arithmetic number, because the mean of its divisors is an integer number (661496125824).

Almost surely, 2^{72306563067200} is an apocalyptic number.

72306563067200 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 72306563067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111131349138432).

72306563067200 is an abundant number, since it is smaller than the sum of its proper divisors (149956135209664).

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

72306563067200 is a wasteful number, since it uses less digits than its factorization.

72306563067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167350 (or 1167335 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 47.

The spelling of 72306563067200 in words is "seventy-two trillion, three hundred six billion, five hundred sixty-three million, sixty-seven thousand, two hundred".