72010023321600 has 7200 divisors, whose sum is σ = 368703452468736. Its totient is φ = 13453649510400.

The previous prime is 72010023321581. The next prime is 72010023321611. The reversal of 72010023321600 is 612332001027.

72010023321600 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 0 + 0 + 2 + 33 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1180492185570 + ... + 1180492185630.

Almost surely, 2^{72010023321600} is an apocalyptic number.

72010023321600 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 72010023321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184351726234368).

72010023321600 is an abundant number, since it is smaller than the sum of its proper divisors (296693429147136).

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

72010023321600 is a wasteful number, since it uses less digits than its factorization.

72010023321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 72010023321600 its reverse (612332001027), we get a palindrome (72622355322627).

The spelling of 72010023321600 in words is "seventy-two trillion, ten billion, twenty-three million, three hundred twenty-one thousand, six hundred".