72281924640 has 768 divisors, whose sum is σ = 281195712000. Its totient is φ = 17473978368.

The previous prime is 72281924639. The next prime is 72281924641. The reversal of 72281924640 is 4642918227.

72281924640 is a `hidden beast` number, since 7 + 22 + 81 + 92 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72281924639) and next prime (72281924641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72281924641) 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 127 ways as a sum of consecutive naturals, for example, 172510351 + ... + 172510769.

It is an arithmetic number, because the mean of its divisors is an integer number (366140250).

Almost surely, 2^72281924640 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 72281924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140597856000).

72281924640 is an abundant number, since it is smaller than the sum of its proper divisors (208913787360).

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

72281924640 is a wasteful number, since it uses less digits than its factorization.

72281924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72281924640 in words is "seventy-two billion, two hundred eighty-one million, nine hundred twenty-four thousand, six hundred forty".