72876054240 has 1152 divisors, whose sum is σ = 304057152000. Its totient is φ = 16228270080.

The previous prime is 72876054227. The next prime is 72876054259. The reversal of 72876054240 is 4245067827.

It is a happy number.

72876054240 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 60 + 542 + 40 = 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524288091 + ... + 524288229.

It is an arithmetic number, because the mean of its divisors is an integer number (263938500).

Almost surely, 2^72876054240 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 72876054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152028576000).

72876054240 is an abundant number, since it is smaller than the sum of its proper divisors (231181097760).

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

72876054240 is a wasteful number, since it uses less digits than its factorization.

72876054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 72876054240 in words is "seventy-two billion, eight hundred seventy-six million, fifty-four thousand, two hundred forty".