72847095572601 has 81 divisors (see below), whose sum is σ = 127112734847631. Its totient is φ = 41624146399248.

The previous prime is 72847095572567. The next prime is 72847095572617. The reversal of 72847095572601 is 10627559074827.

The square root of 72847095572601 is 8535051.

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

72847095572601 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 70 + 9 + 557 + 2 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69612406994025 + 3234688578576 = 8343405^2 + 1798524^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 72847095572601 - 2¹¹ = 72847095570553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72847095576601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4839366391 + ... + 4839381443.

Almost surely, 2^{72847095572601} is an apocalyptic number.

72847095572601 is the 8535051-st square number.

72847095572601 is the 4267526-th centered octagonal number.

It is an amenable number.

72847095572601 is a deficient number, since it is larger than the sum of its proper divisors (54265639275030).

72847095572601 is an frugal number, since it uses more digits than its factorization.

72847095572601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30144 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 72847095572601 in words is "seventy-two trillion, eight hundred forty-seven billion, ninety-five million, five hundred seventy-two thousand, six hundred one".