71465724541 has 32 divisors (see below), whose sum is σ = 76886172000. Its totient is φ = 66310852608.

The previous prime is 71465724529. The next prime is 71465724569. The reversal of 71465724541 is 14542756417.

It can be written as a sum of positive squares in 16 ways, for example, as 1145822500 + 70319902041 = 33850^2 + 265179^2 .

It is a cyclic number.

It is not a de Polignac number, because 71465724541 - 2⁵ = 71465724509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71465724491 and 71465724500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71465724521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14908041 + ... + 14912833.

It is an arithmetic number, because the mean of its divisors is an integer number (2402692875).

Almost surely, 2^71465724541 is an apocalyptic number.

It is an amenable number.

71465724541 is a deficient number, since it is larger than the sum of its proper divisors (5420447459).

71465724541 is a wasteful number, since it uses less digits than its factorization.

71465724541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073.

The product of its digits is 940800, while the sum is 46.

The spelling of 71465724541 in words is "seventy-one billion, four hundred sixty-five million, seven hundred twenty-four thousand, five hundred forty-one".