72334480681024 has 189 divisors, whose sum is σ = 150374555214093. Its totient is φ = 34522277469696.

The previous prime is 72334480680989. The next prime is 72334480681069. The reversal of 72334480681024 is 42018608443327.

The square root of 72334480681024 is 8504968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64725886657600 + 7608594023424 = 8045240^2 + 2758368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148530760909 + ... + 148530761395.

Almost surely, 2^{72334480681024} is an apocalyptic number.

72334480681024 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

72334480681024 is the 8504968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72334480681024

72334480681024 is an abundant number, since it is smaller than the sum of its proper divisors (78040074533069).

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

72334480681024 is an frugal number, since it uses more digits than its factorization.

72334480681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 52.

The spelling of 72334480681024 in words is "seventy-two trillion, three hundred thirty-four billion, four hundred eighty million, six hundred eighty-one thousand, twenty-four".