73088838 has 64 divisors (see below), whose sum is σ = 168592320. Its totient is φ = 23452416.

The previous prime is 73088833. The next prime is 73088843. The reversal of 73088838 is 83888037.

It is an interprime number because it is at equal distance from previous prime (73088833) and next prime (73088843).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73088793 and 73088802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73088833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313570 + ... + 313802.

It is an arithmetic number, because the mean of its divisors is an integer number (2634255).

Almost surely, 2^73088838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73088838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84296160).

73088838 is an abundant number, since it is smaller than the sum of its proper divisors (95503482).

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

73088838 is a wasteful number, since it uses less digits than its factorization.

73088838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 73088838 is about 8549.2010152996. The cubic root of 73088838 is about 418.1033870467.

The spelling of 73088838 in words is "seventy-three million, eighty-eight thousand, eight hundred thirty-eight".