72752064000 has 1920 divisors, whose sum is σ = 331840903680. Its totient is φ = 13934592000.

The previous prime is 72752063987. The next prime is 72752064001. The reversal of 72752064000 is 46025727.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72752064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1966271982 + ... + 1966272018.

It is an arithmetic number, because the mean of its divisors is an integer number (172833804).

Almost surely, 2^72752064000 is an apocalyptic number.

72752064000 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 72752064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165920451840).

72752064000 is an abundant number, since it is smaller than the sum of its proper divisors (259088839680).

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

72752064000 is a wasteful number, since it uses less digits than its factorization.

72752064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

Adding to 72752064000 its reverse (46025727), we get a palindrome (72798089727).

The spelling of 72752064000 in words is "seventy-two billion, seven hundred fifty-two million, sixty-four thousand".