73607040 has 192 divisors, whose sum is σ = 274004640. Its totient is φ = 18100224.

The previous prime is 73607021. The next prime is 73607047. The reversal of 73607040 is 4070637.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 73606995 and 73607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73607047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74389 + ... + 75371.

Almost surely, 2^73607040 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 73607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137002320).

73607040 is an abundant number, since it is smaller than the sum of its proper divisors (200397600).

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

73607040 is a wasteful number, since it uses less digits than its factorization.

73607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73607040 is about 8579.4545281154. The cubic root of 73607040 is about 419.0891826804.

Adding to 73607040 its reverse (4070637), we get a palindrome (77677677).

It can be divided in two parts, 7360 and 7040, that added together give a square (14400 = 120²).

The spelling of 73607040 in words is "seventy-three million, six hundred seven thousand, forty".