72775378368000 has 3840 divisors, whose sum is σ = 355632538060800. Its totient is φ = 14320779264000.

The previous prime is 72775378367957. The next prime is 72775378368001. The reversal of 72775378368000 is 86387357727.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72775378368001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 27808702692 + ... + 27808705308.

It is an arithmetic number, because the mean of its divisors is an integer number (92612640120).

Almost surely, 2^{72775378368000} is an apocalyptic number.

72775378368000 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 72775378368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177816269030400).

72775378368000 is an abundant number, since it is smaller than the sum of its proper divisors (282857159692800).

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

72775378368000 is a wasteful number, since it uses less digits than its factorization.

72775378368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 72775378368000 in words is "seventy-two trillion, seven hundred seventy-five billion, three hundred seventy-eight million, three hundred sixty-eight thousand".