73083696 has 160 divisors (see below), whose sum is σ = 230937600. Its totient is φ = 19869696.

The previous prime is 73083641. The next prime is 73083727. The reversal of 73083696 is 69638037.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378576 + ... + 378768.

It is an arithmetic number, because the mean of its divisors is an integer number (1443360).

Almost surely, 2^73083696 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 73083696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115468800).

73083696 is an abundant number, since it is smaller than the sum of its proper divisors (157853904).

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

73083696 is a wasteful number, since it uses less digits than its factorization.

73083696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 73083696 is about 8548.9002801530. The cubic root of 73083696 is about 418.0935819105.

The spelling of 73083696 in words is "seventy-three million, eighty-three thousand, six hundred ninety-six".