72637516270000 has 200 divisors, whose sum is σ = 191937233637072. Its totient is φ = 26401660800000.

The previous prime is 72637516269971. The next prime is 72637516270043. The reversal of 72637516270000 is 7261573627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244161342 + ... + 244458658.

Almost surely, 2^{72637516270000} 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 72637516270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95968616818536).

72637516270000 is an abundant number, since it is smaller than the sum of its proper divisors (119299717367072).

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

72637516270000 is a wasteful number, since it uses less digits than its factorization.

72637516270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299577 (or 299556 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 72637516270000 in words is "seventy-two trillion, six hundred thirty-seven billion, five hundred sixteen million, two hundred seventy thousand".