73976928169 has 9 divisors (see below), whose sum is σ = 76040686071. Its totient is φ = 71967760200.

The previous prime is 73976928167. The next prime is 73976928229. The reversal of 73976928169 is 96182967937.

The square root of 73976928169 is 271987.

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

It can be written as a sum of positive squares in only one way, i.e., 66195571225 + 7781356944 = 257285^2 + 88212^2 .

It is not a de Polignac number, because 73976928169 - 2¹ = 73976928167 is a prime.

It is a super-2 number, since 2×73976928169² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73976928167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10059844 + ... + 10067194.

It is an arithmetic number, because the mean of its divisors is an integer number (8448965119).

Almost surely, 2^73976928169 is an apocalyptic number.

73976928169 is the 271987-th square number.

73976928169 is the 135994-th centered octagonal number.

It is an amenable number.

73976928169 is a deficient number, since it is larger than the sum of its proper divisors (2063757902).

73976928169 is an frugal number, since it uses more digits than its factorization.

73976928169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14776 (or 7388 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 67.

The spelling of 73976928169 in words is "seventy-three billion, nine hundred seventy-six million, nine hundred twenty-eight thousand, one hundred sixty-nine".