72599124742144 has 1755 divisors, whose sum is σ = 212754003478569. Its totient is φ = 24735387156480.

The previous prime is 72599124742141. The next prime is 72599124742229. The reversal of 72599124742144 is 44124742199527.

The square root of 72599124742144 is 8520512.

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., 10739515494400 + 61859609247744 = 3277120^2 + 7865088^2 .

It is a super-2 number, since 2×72599124742144² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72599124742141) 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 134 ways as a sum of consecutive naturals, for example, 3821006565367 + ... + 3821006565385.

Almost surely, 2^{72599124742144} is an apocalyptic number.

72599124742144 is the 8520512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72599124742144

72599124742144 is an abundant number, since it is smaller than the sum of its proper divisors (140154878736425).

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

72599124742144 is an equidigital number, since it uses as much as digits as its factorization.

72599124742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 52 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 61.

The spelling of 72599124742144 in words is "seventy-two trillion, five hundred ninety-nine billion, one hundred twenty-four million, seven hundred forty-two thousand, one hundred forty-four".