72524605626112 has 72 divisors (see below), whose sum is σ = 146391611168880. Its totient is φ = 35856437944320.

The previous prime is 72524605626073. The next prime is 72524605626127. The reversal of 72524605626112 is 21162650642527.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11054148 + ... + 16347580.

It is an arithmetic number, because the mean of its divisors is an integer number (2033216821790).

Almost surely, 2^{72524605626112} 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 72524605626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73195805584440).

72524605626112 is an abundant number, since it is smaller than the sum of its proper divisors (73867005542768).

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

72524605626112 is a wasteful number, since it uses less digits than its factorization.

72524605626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294049 (or 5294035 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 72524605626112 in words is "seventy-two trillion, five hundred twenty-four billion, six hundred five million, six hundred twenty-six thousand, one hundred twelve".