84723072000 has 704 divisors, whose sum is σ = 330020680704. Its totient is φ = 18889113600.

The previous prime is 84723071941. The next prime is 84723072001. The reversal of 84723072000 is 27032748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84723072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115583634 + ... + 115584366.

It is an arithmetic number, because the mean of its divisors is an integer number (468779376).

Almost surely, 2^84723072000 is an apocalyptic number.

84723072000 is a gapful number since it is divisible by the number (80) 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 84723072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165010340352).

84723072000 is an abundant number, since it is smaller than the sum of its proper divisors (245297608704).

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

84723072000 is a wasteful number, since it uses less digits than its factorization.

84723072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 84723072000 in words is "eighty-four billion, seven hundred twenty-three million, seventy-two thousand".