72782001600 has 672 divisors, whose sum is σ = 299555684352. Its totient is φ = 15029760000.

The previous prime is 72782001599. The next prime is 72782001637. The reversal of 72782001600 is 610028727.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 70593085 + ... + 70594115.

Almost surely, 2^72782001600 is an apocalyptic number.

72782001600 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 72782001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149777842176).

72782001600 is an abundant number, since it is smaller than the sum of its proper divisors (226773682752).

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

72782001600 is a wasteful number, since it uses less digits than its factorization.

72782001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 72782001600 in words is "seventy-two billion, seven hundred eighty-two million, one thousand, six hundred".