72311788416000 has 2112 divisors, whose sum is σ = 291100312608768. Its totient is φ = 15869952000000.

The previous prime is 72311788415989. The next prime is 72311788416011. The reversal of 72311788416000 is 61488711327.

It is an interprime number because it is at equal distance from previous prime (72311788415989) and next prime (72311788416011).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 88077695590 + ... + 88077696410.

Almost surely, 2^{72311788416000} is an apocalyptic number.

72311788416000 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 72311788416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145550156304384).

72311788416000 is an abundant number, since it is smaller than the sum of its proper divisors (218788524192768).

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

72311788416000 is a wasteful number, since it uses less digits than its factorization.

72311788416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 72311788416000 in words is "seventy-two trillion, three hundred eleven billion, seven hundred eighty-eight million, four hundred sixteen thousand".