72746043520000 has 440 divisors, whose sum is σ = 186841526572800. Its totient is φ = 28286423040000.

The previous prime is 72746043519967. The next prime is 72746043520049. The reversal of 72746043520000 is 2534064727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4481911885 + ... + 4481928115.

It is an arithmetic number, because the mean of its divisors is an integer number (424639833120).

Almost surely, 2^{72746043520000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72746043520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93420763286400).

72746043520000 is an abundant number, since it is smaller than the sum of its proper divisors (114095483052800).

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

72746043520000 is a wasteful number, since it uses less digits than its factorization.

72746043520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16467 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

Adding to 72746043520000 its reverse (2534064727), we get a palindrome (72748577584727).

The spelling of 72746043520000 in words is "seventy-two trillion, seven hundred forty-six billion, forty-three million, five hundred twenty thousand".