73565040 has 80 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 18763008.

The previous prime is 73565033. The next prime is 73565047. The reversal of 73565040 is 4056537.

It is an interprime number because it is at equal distance from previous prime (73565033) and next prime (73565047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×73565040² = 10823630220403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73564989 and 73565007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73565047) 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, 1144 + ... + 12183.

Almost surely, 2^73565040 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 73565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

73565040 is an abundant number, since it is smaller than the sum of its proper divisors (164419728).

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

73565040 is a wasteful number, since it uses less digits than its factorization.

73565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13366 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 73565040 is about 8577.0064707915. The cubic root of 73565040 is about 419.0094570882.

The spelling of 73565040 in words is "seventy-three million, five hundred sixty-five thousand, forty".