72688203433440 has 384 divisors, whose sum is σ = 296238722411520. Its totient is φ = 16300966017024.

The previous prime is 72688203433399. The next prime is 72688203433441. The reversal of 72688203433440 is 4433430288627.

72688203433440 is a `hidden beast` number, since 7 + 2 + 68 + 8 + 203 + 4 + 334 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72688203433441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21073794 + ... + 24279233.

It is an arithmetic number, because the mean of its divisors is an integer number (771455006280).

Almost surely, 2^{72688203433440} is an apocalyptic number.

72688203433440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72688203433440 is an abundant number, since it is smaller than the sum of its proper divisors (223550518978080).

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

72688203433440 is a wasteful number, since it uses less digits than its factorization.

72688203433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353111 (or 45353097 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 72688203433440 in words is "seventy-two trillion, six hundred eighty-eight billion, two hundred three million, four hundred thirty-three thousand, four hundred forty".