72361538001 has 51 divisors (see below), whose sum is σ = 111254249563. Its totient is φ = 47064414960.

The previous prime is 72361537999. The next prime is 72361538027. The reversal of 72361538001 is 10083516327.

The square root of 72361538001 is 269001.

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

72361538001 is a `hidden beast` number, since 7 + 2 + 3 + 615 + 38 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3486784401 + 68874753600 = 59049^2 + 262440^2 .

It is not a de Polignac number, because 72361538001 - 2¹ = 72361537999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72361538801) 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 50 ways as a sum of consecutive naturals, for example, 1764915541 + ... + 1764915581.

Almost surely, 2^72361538001 is an apocalyptic number.

72361538001 is the 269001-st square number.

72361538001 is the 134501-st centered octagonal number.

It is an amenable number.

72361538001 is a deficient number, since it is larger than the sum of its proper divisors (38892711562).

72361538001 is an frugal number, since it uses more digits than its factorization.

72361538001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 72361538001 by its sum of digits (36), we get a square (2605015368036 = 1614006²).

The spelling of 72361538001 in words is "seventy-two billion, three hundred sixty-one million, five hundred thirty-eight thousand, one".