72150011601001 has 8 divisors (see below), whose sum is σ = 72409990653000. Its totient is φ = 71890055368320.

The previous prime is 72150011600969. The next prime is 72150011601011. The reversal of 72150011601001 is 10010611005127.

It can be written as a sum of positive squares in 4 ways, for example, as 61166852213776 + 10983159387225 = 7820924^2 + 3314085^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72150011601001 - 2⁵ = 72150011600969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72150011601011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642855 + ... + 12029683.

It is an arithmetic number, because the mean of its divisors is an integer number (9051248831625).

Almost surely, 2^{72150011601001} is an apocalyptic number.

It is an amenable number.

72150011601001 is a deficient number, since it is larger than the sum of its proper divisors (259979051999).

72150011601001 is a wasteful number, since it uses less digits than its factorization.

72150011601001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409659.

The product of its (nonzero) digits is 420, while the sum is 25.

Adding to 72150011601001 its reverse (10010611005127), we get a palindrome (82160622606128).

The spelling of 72150011601001 in words is "seventy-two trillion, one hundred fifty billion, eleven million, six hundred one thousand, one".