72416243101001 has 16 divisors (see below), whose sum is σ = 74957515894800. Its totient is φ = 69877918924800.

The previous prime is 72416243100983. The next prime is 72416243101049. The reversal of 72416243101001 is 10010134261427.

It can be written as a sum of positive squares in 8 ways, for example, as 8127197478976 + 64289045622025 = 2850824^2 + 8018045^2 .

It is not a de Polignac number, because 72416243101001 - 2⁶ = 72416243100937 is a prime.

It is a super-2 number, since 2×72416243101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72416243101901) 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, 1300527881 + ... + 1300583561.

It is an arithmetic number, because the mean of its divisors is an integer number (4684844743425).

Almost surely, 2^{72416243101001} is an apocalyptic number.

It is an amenable number.

72416243101001 is a deficient number, since it is larger than the sum of its proper divisors (2541272793799).

72416243101001 is a wasteful number, since it uses less digits than its factorization.

72416243101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81340.

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 72416243101001 its reverse (10010134261427), we get a palindrome (82426377362428).

The spelling of 72416243101001 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred one thousand, one".