73561008 has 80 divisors (see below), whose sum is σ = 202764800. Its totient is φ = 22913280.

The previous prime is 73561001. The next prime is 73561013. The reversal of 73561008 is 80016537.

It is a super-2 number, since 2×73561008² = 10822443795952128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73561001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71538 + ... + 72558.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2^73561008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101382400).

73561008 is an abundant number, since it is smaller than the sum of its proper divisors (129203792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73561008 is a wasteful number, since it uses less digits than its factorization.

73561008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 73561008 is about 8576.7714205288. The cubic root of 73561008 is about 419.0018018351.

The spelling of 73561008 in words is "seventy-three million, five hundred sixty-one thousand, eight".