72603841401 has 225 divisors, whose sum is σ = 139984879551. Its totient is φ = 37481711904.

The previous prime is 72603841379. The next prime is 72603841517. The reversal of 72603841401 is 10414830627.

The square root of 72603841401 is 269451.

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

72603841401 is a `hidden beast` number, since 7 + 2 + 603 + 8 + 4 + 1 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10740213225 + 61863628176 = 103635^2 + 248724^2 .

It is not a de Polignac number, because 72603841401 - 2¹¹ = 72603839353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72603841601) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1544762560 + ... + 1544762606.

Almost surely, 2^72603841401 is an apocalyptic number.

72603841401 is the 269451-st square number.

72603841401 is the 134726-th centered octagonal number.

It is an amenable number.

72603841401 is a deficient number, since it is larger than the sum of its proper divisors (67381038150).

72603841401 is an frugal number, since it uses more digits than its factorization.

72603841401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 72603841401 by its sum of digits (36), we get a square (2613738290436 = 1616706²).

The spelling of 72603841401 in words is "seventy-two billion, six hundred three million, eight hundred forty-one thousand, four hundred one".