72124951854880 has 96 divisors (see below), whose sum is σ = 171234635584320. Its totient is φ = 28707985781760.

The previous prime is 72124951854859. The next prime is 72124951854881. The reversal of 72124951854880 is 8845815942127.

It is not an unprimeable number, because it can be changed into a prime (72124951854881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69619726 + ... + 70648114.

It is an arithmetic number, because the mean of its divisors is an integer number (1783694120670).

Almost surely, 2^{72124951854880} 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 72124951854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85617317792160).

72124951854880 is an abundant number, since it is smaller than the sum of its proper divisors (99109683729440).

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

72124951854880 is a wasteful number, since it uses less digits than its factorization.

72124951854880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030562 (or 1030554 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 64.

The spelling of 72124951854880 in words is "seventy-two trillion, one hundred twenty-four billion, nine hundred fifty-one million, eight hundred fifty-four thousand, eight hundred eighty".