72354535680 has 432 divisors, whose sum is σ = 272985455232. Its totient is φ = 15998976000.

The previous prime is 72354535663. The next prime is 72354535697. The reversal of 72354535680 is 8653545327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72354535663) and next prime (72354535697).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25830280 + ... + 25833080.

It is an arithmetic number, because the mean of its divisors is an integer number (631910776).

Almost surely, 2^72354535680 is an apocalyptic number.

72354535680 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 72354535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136492727616).

72354535680 is an abundant number, since it is smaller than the sum of its proper divisors (200630919552).

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

72354535680 is a wasteful number, since it uses less digits than its factorization.

72354535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 72354535680 in words is "seventy-two billion, three hundred fifty-four million, five hundred thirty-five thousand, six hundred eighty".