72757810761600 has 768 divisors, whose sum is σ = 251395209676800. Its totient is φ = 18472491417600.

The previous prime is 72757810761599. The next prime is 72757810761637. The reversal of 72757810761600 is 616701875727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9102687204 + ... + 9102695196.

It is an arithmetic number, because the mean of its divisors is an integer number (327337512600).

Almost surely, 2^{72757810761600} 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 72757810761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125697604838400).

72757810761600 is an abundant number, since it is smaller than the sum of its proper divisors (178637398915200).

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

72757810761600 is a wasteful number, since it uses less digits than its factorization.

72757810761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8543 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 57.

The spelling of 72757810761600 in words is "seventy-two trillion, seven hundred fifty-seven billion, eight hundred ten million, seven hundred sixty-one thousand, six hundred".