72052134754600 has 384 divisors, whose sum is σ = 224951569678080. Its totient is φ = 20727705600000.

The previous prime is 72052134754469. The next prime is 72052134754601. The reversal of 72052134754600 is 645743125027.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72052134754601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2102283064 + ... + 2102317336.

It is an arithmetic number, because the mean of its divisors is an integer number (585811379370).

Almost surely, 2^{72052134754600} is an apocalyptic number.

72052134754600 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 72052134754600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112475784839040).

72052134754600 is an abundant number, since it is smaller than the sum of its proper divisors (152899434923480).

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

72052134754600 is a wasteful number, since it uses less digits than its factorization.

72052134754600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44821 (or 44812 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

Adding to 72052134754600 its reverse (645743125027), we get a palindrome (72697877879627).

The spelling of 72052134754600 in words is "seventy-two trillion, fifty-two billion, one hundred thirty-four million, seven hundred fifty-four thousand, six hundred".