73736569 has 9 divisors (see below), whose sum is σ = 76467951. Its totient is φ = 71100360.

The previous prime is 73736563. The next prime is 73736591. The reversal of 73736569 is 96563737.

The square root of 73736569 is 8587.

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., 12709225 + 61027344 = 3565^2 + 7812^2 .

It is not a de Polignac number, because 73736569 - 2⁷ = 73736441 is a prime.

It is a super-2 number, since 2×73736569² = 10874163215783522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73736563) 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, 266059 + ... + 266335.

It is an arithmetic number, because the mean of its divisors is an integer number (8496439).

Almost surely, 2^73736569 is an apocalyptic number.

73736569 is the 8587-th square number.

73736569 is the 4294-th centered octagonal number.

It is an amenable number.

73736569 is a deficient number, since it is larger than the sum of its proper divisors (2731382).

73736569 is an frugal number, since it uses more digits than its factorization.

73736569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its digits is 714420, while the sum is 46.

The cubic root of 73736569 is about 419.3348674767.

It can be divided in two parts, 73736 and 569, that added together give a triangular number (74305 = T₃₈₅).

The spelling of 73736569 in words is "seventy-three million, seven hundred thirty-six thousand, five hundred sixty-nine".