72649025280 has 576 divisors, whose sum is σ = 280558131840. Its totient is φ = 17694720000.

The previous prime is 72649025269. The next prime is 72649025359. The reversal of 72649025280 is 8252094627.

72649025280 is a `hidden beast` number, since 7 + 264 + 90 + 25 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45376480 + ... + 45378080.

It is an arithmetic number, because the mean of its divisors is an integer number (487080090).

Almost surely, 2^72649025280 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 72649025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140279065920).

72649025280 is an abundant number, since it is smaller than the sum of its proper divisors (207909106560).

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

72649025280 is a wasteful number, since it uses less digits than its factorization.

72649025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72649025280 in words is "seventy-two billion, six hundred forty-nine million, twenty-five thousand, two hundred eighty".