72782388000 has 1152 divisors, whose sum is σ = 322823854080. Its totient is φ = 15732403200.

The previous prime is 72782387999. The next prime is 72782388001. The reversal of 72782388000 is 88328727.

It is an interprime number because it is at equal distance from previous prime (72782387999) and next prime (72782388001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72782388001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129275719 + ... + 129276281.

It is an arithmetic number, because the mean of its divisors is an integer number (280229040).

Almost surely, 2^72782388000 is an apocalyptic number.

72782388000 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 72782388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161411927040).

72782388000 is an abundant number, since it is smaller than the sum of its proper divisors (250041466080).

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

72782388000 is a wasteful number, since it uses less digits than its factorization.

72782388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 72782388000 in words is "seventy-two billion, seven hundred eighty-two million, three hundred eighty-eight thousand".