72349412352 has 352 divisors, whose sum is σ = 242102784000. Its totient is φ = 18729418752.

The previous prime is 72349412347. The next prime is 72349412357. The reversal of 72349412352 is 25321494327.

It is an interprime number because it is at equal distance from previous prime (72349412347) and next prime (72349412357).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72349412357) 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 31 ways as a sum of consecutive naturals, for example, 9393399 + ... + 9401097.

It is an arithmetic number, because the mean of its divisors is an integer number (687792000).

Almost surely, 2^72349412352 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 72349412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121051392000).

72349412352 is an abundant number, since it is smaller than the sum of its proper divisors (169753371648).

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

72349412352 is a wasteful number, since it uses less digits than its factorization.

72349412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7753 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 72349412352 in words is "seventy-two billion, three hundred forty-nine million, four hundred twelve thousand, three hundred fifty-two".