72040177440 has 384 divisors, whose sum is σ = 314358589440. Its totient is φ = 14969318400.

The previous prime is 72040177411. The next prime is 72040177441. The reversal of 72040177440 is 4477104027.

72040177440 is a `hidden beast` number, since 7 + 2 + 0 + 40 + 177 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72040177395 and 72040177404.

It is not an unprimeable number, because it can be changed into a prime (72040177441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224355 + ... + 440925.

It is an arithmetic number, because the mean of its divisors is an integer number (818642160).

Almost surely, 2^72040177440 is an apocalyptic number.

72040177440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72040177440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157179294720).

72040177440 is an abundant number, since it is smaller than the sum of its proper divisors (242318412000).

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

72040177440 is a wasteful number, since it uses less digits than its factorization.

72040177440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216613 (or 216599 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 72040177440 in words is "seventy-two billion, forty million, one hundred seventy-seven thousand, four hundred forty".