71772575749 has 24 divisors (see below), whose sum is σ = 84912105984. Its totient is φ = 59366260800.

The previous prime is 71772575653. The next prime is 71772575773. The reversal of 71772575749 is 94757527717.

It is a happy number.

It is not a de Polignac number, because 71772575749 - 2²⁵ = 71739021317 is a prime.

It is a super-2 number, since 2×71772575749² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71772573749) 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 23 ways as a sum of consecutive naturals, for example, 94811479 + ... + 94812235.

It is an arithmetic number, because the mean of its divisors is an integer number (3538004416).

Almost surely, 2^71772575749 is an apocalyptic number.

It is an amenable number.

71772575749 is a deficient number, since it is larger than the sum of its proper divisors (13139530235).

71772575749 is an frugal number, since it uses more digits than its factorization.

71772575749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 1456 counting only the distinct ones).

The product of its digits is 30252600, while the sum is 61.

The spelling of 71772575749 in words is "seventy-one billion, seven hundred seventy-two million, five hundred seventy-five thousand, seven hundred forty-nine".