72450251280 has 960 divisors, whose sum is σ = 297880934400. Its totient is φ = 16006118400.

The previous prime is 72450251273. The next prime is 72450251369. The reversal of 72450251280 is 8215205427.

It is a happy number.

72450251280 is a `hidden beast` number, since 7 + 24 + 502 + 5 + 128 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 433833757 + ... + 433833923.

It is an arithmetic number, because the mean of its divisors is an integer number (310292640).

Almost surely, 2^72450251280 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 72450251280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148940467200).

72450251280 is an abundant number, since it is smaller than the sum of its proper divisors (225430683120).

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

72450251280 is a wasteful number, since it uses less digits than its factorization.

72450251280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 238 counting only the distinct ones).

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

The spelling of 72450251280 in words is "seventy-two billion, four hundred fifty million, two hundred fifty-one thousand, two hundred eighty".