71572835961 has 63 divisors (see below), whose sum is σ = 115443943797. Its totient is φ = 42730051320.

The previous prime is 71572835953. The next prime is 71572835969. The reversal of 71572835961 is 16953827517.

The square root of 71572835961 is 267531.

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

71572835961 is a `hidden beast` number, since 7 + 1 + 572 + 8 + 3 + 5 + 9 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (71572835953) and next prime (71572835969).

It is not a de Polignac number, because 71572835961 - 2³ = 71572835953 is a prime.

Its product of digits (3175200) is a multiple of the sum of its prime divisors (81).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71572835898 and 71572835907.

It is not an unprimeable number, because it can be changed into a prime (71572835969) 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 62 ways as a sum of consecutive naturals, for example, 1068251250 + ... + 1068251316.

Almost surely, 2^71572835961 is an apocalyptic number.

71572835961 is the 267531-st square number.

71572835961 is the 133766-th centered octagonal number.

It is an amenable number.

71572835961 is a deficient number, since it is larger than the sum of its proper divisors (43871107836).

71572835961 is an frugal number, since it uses more digits than its factorization.

71572835961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 81 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

It can be divided in two parts, 715728 and 35961, that added together give a square (751689 = 867²).

The spelling of 71572835961 in words is "seventy-one billion, five hundred seventy-two million, eight hundred thirty-five thousand, nine hundred sixty-one".