72681624845400 has 192 divisors, whose sum is σ = 232588650516480. Its totient is φ = 18755947468800.

The previous prime is 72681624845383. The next prime is 72681624845411. The reversal of 72681624845400 is 454842618627.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1104937312 + ... + 1105003088.

It is an arithmetic number, because the mean of its divisors is an integer number (1211399221440).

Almost surely, 2^{72681624845400} 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 72681624845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116294325258240).

72681624845400 is an abundant number, since it is smaller than the sum of its proper divisors (159907025671080).

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

72681624845400 is a wasteful number, since it uses less digits than its factorization.

72681624845400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125234 (or 125225 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 72681624845400 in words is "seventy-two trillion, six hundred eighty-one billion, six hundred twenty-four million, eight hundred forty-five thousand, four hundred".