72833826240 has 1008 divisors, whose sum is σ = 316084134912. Its totient is φ = 15634612224.

The previous prime is 72833826239. The next prime is 72833826251. The reversal of 72833826240 is 4262833827.

72833826240 is a `hidden beast` number, since 7 + 28 + 3 + 382 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157308249 + ... + 157308711.

Almost surely, 2^72833826240 is an apocalyptic number.

72833826240 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 72833826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158042067456).

72833826240 is an abundant number, since it is smaller than the sum of its proper divisors (243250308672).

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

72833826240 is a wasteful number, since it uses less digits than its factorization.

72833826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 72833826240 in words is "seventy-two billion, eight hundred thirty-three million, eight hundred twenty-six thousand, two hundred forty".