72401444473001 has 24 divisors (see below), whose sum is σ = 88788694588416. Its totient is φ = 58778699837760.

The previous prime is 72401444472983. The next prime is 72401444473027. The reversal of 72401444473001 is 10037444410427.

It is a happy number.

It is not a de Polignac number, because 72401444473001 - 2¹⁴ = 72401444456617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72401444473001.

It is not an unprimeable number, because it can be changed into a prime (72401444473051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506991236 + ... + 507134021.

It is an arithmetic number, because the mean of its divisors is an integer number (3699528941184).

Almost surely, 2^{72401444473001} is an apocalyptic number.

It is an amenable number.

72401444473001 is a deficient number, since it is larger than the sum of its proper divisors (16387250115415).

72401444473001 is a wasteful number, since it uses less digits than its factorization.

72401444473001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014125349 (or 1014125342 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 41.

Adding to 72401444473001 its reverse (10037444410427), we get a palindrome (82438888883428).

The spelling of 72401444473001 in words is "seventy-two trillion, four hundred one billion, four hundred forty-four million, four hundred seventy-three thousand, one".