72610743843000 has 2048 divisors, whose sum is σ = 298030067712000. Its totient is φ = 16166304000000.

The previous prime is 72610743842999. The next prime is 72610743843017. The reversal of 72610743843000 is 34834701627.

72610743843000 is a `hidden beast` number, since 7 + 261 + 0 + 7 + 4 + 3 + 84 + 300 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 24439831515 + ... + 24439834485.

It is an arithmetic number, because the mean of its divisors is an integer number (145522494000).

Almost surely, 2^{72610743843000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72610743843000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149015033856000).

72610743843000 is an abundant number, since it is smaller than the sum of its proper divisors (225419323869000).

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

72610743843000 is a wasteful number, since it uses less digits than its factorization.

72610743843000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 72610743843000 in words is "seventy-two trillion, six hundred ten billion, seven hundred forty-three million, eight hundred forty-three thousand".