72303840829440 has 2240 divisors, whose sum is σ = 294208373809152. Its totient is φ = 16898280652800.

The previous prime is 72303840829427. The next prime is 72303840829487. The reversal of 72303840829440 is 4492804830327.

72303840829440 is a `hidden beast` number, since 7 + 2 + 303 + 8 + 4 + 0 + 8 + 294 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 274919546749 + ... + 274919547011.

Almost surely, 2^{72303840829440} 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 72303840829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147104186904576).

72303840829440 is an abundant number, since it is smaller than the sum of its proper divisors (221904532979712).

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

72303840829440 is an frugal number, since it uses more digits than its factorization.

72303840829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 72303840829440 in words is "seventy-two trillion, three hundred three billion, eight hundred forty million, eight hundred twenty-nine thousand, four hundred forty".