72476105232384 has 3276 divisors, whose sum is σ = 284465807783040. Its totient is φ = 18330119700480.

The previous prime is 72476105232383. The next prime is 72476105232449. The reversal of 72476105232384 is 48323250167427.

72476105232384 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 6 + 10 + 523 + 23 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72476105232384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72476105232383) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2337938878449 + ... + 2337938878479.

Almost surely, 2^{72476105232384} 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 72476105232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142232903891520).

72476105232384 is an abundant number, since it is smaller than the sum of its proper divisors (211989702550656).

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

72476105232384 is an equidigital number, since it uses as much as digits as its factorization.

72476105232384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 72476105232384 in words is "seventy-two trillion, four hundred seventy-six billion, one hundred five million, two hundred thirty-two thousand, three hundred eighty-four".