72145422801 has 9 divisors (see below), whose sum is σ = 104211219099. Its totient is φ = 48096411336.

The previous prime is 72145422781. The next prime is 72145422803. The reversal of 72145422801 is 10822454127.

The square root of 72145422801 is 268599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69814850625 + 2330572176 = 264225^2 + 48276^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 72145422801 - 2²⁵ = 72111868369 is a prime.

It is a super-2 number, since 2×72145422801² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72145422803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 761031 + ... + 850563.

Almost surely, 2^72145422801 is an apocalyptic number.

72145422801 is the 268599-th square number.

72145422801 is the 134300-th centered octagonal number.

It is an amenable number.

72145422801 is a deficient number, since it is larger than the sum of its proper divisors (32065796298).

72145422801 is an frugal number, since it uses more digits than its factorization.

72145422801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179072 (or 89536 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Multiplying 72145422801 by its sum of digits (36), we get a square (2597235220836 = 1611594²).

Adding to 72145422801 its reverse (10822454127), we get a palindrome (82967876928).

The spelling of 72145422801 in words is "seventy-two billion, one hundred forty-five million, four hundred twenty-two thousand, eight hundred one".