72411201462224 has 80 divisors (see below), whose sum is σ = 146207191992000. Its totient is φ = 34699642306560.

The previous prime is 72411201462221. The next prime is 72411201462251. The reversal of 72411201462224 is 42226410211427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72411201462221) 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, 36129872 + ... + 38081360.

It is an arithmetic number, because the mean of its divisors is an integer number (1827589899900).

Almost surely, 2^{72411201462224} 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 72411201462224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73103595996000).

72411201462224 is an abundant number, since it is smaller than the sum of its proper divisors (73795990529776).

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

72411201462224 is a wasteful number, since it uses less digits than its factorization.

72411201462224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952116 (or 1952110 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 72411201462224 in words is "seventy-two trillion, four hundred eleven billion, two hundred one million, four hundred sixty-two thousand, two hundred twenty-four".