72846549801 has 15 divisors (see below), whose sum is σ = 108823783431. Its totient is φ = 48562747128.

The previous prime is 72846549799. The next prime is 72846549833. The reversal of 72846549801 is 10894564827.

It is a happy number.

The square root of 72846549801 is 269901.

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

72846549801 is a `hidden beast` number, since 72 + 84 + 6 + 5 + 498 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62649589401 + 10196960400 = 250299^2 + 100980^2 .

It is not a de Polignac number, because 72846549801 - 2¹ = 72846549799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72846547801) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2414115 + ... + 2444103.

Almost surely, 2^72846549801 is an apocalyptic number.

72846549801 is the 269901-st square number.

72846549801 is the 134951-st centered octagonal number.

It is an amenable number.

72846549801 is a deficient number, since it is larger than the sum of its proper divisors (35977233630).

72846549801 is an frugal number, since it uses more digits than its factorization.

72846549801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59990 (or 29992 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 72846549801 in words is "seventy-two billion, eight hundred forty-six million, five hundred forty-nine thousand, eight hundred one".