72514252800 has 936 divisors, whose sum is σ = 296612229888. Its totient is φ = 16760832000.

The previous prime is 72514252739. The next prime is 72514252801. The reversal of 72514252800 is 825241527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72514252801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233164645 + ... + 233164955.

It is an arithmetic number, because the mean of its divisors is an integer number (316893408).

Almost surely, 2^72514252800 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 72514252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148306114944).

72514252800 is an abundant number, since it is smaller than the sum of its proper divisors (224097977088).

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

72514252800 is a wasteful number, since it uses less digits than its factorization.

72514252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 72514252800 in words is "seventy-two billion, five hundred fourteen million, two hundred fifty-two thousand, eight hundred".