73936296 has 144 divisors (see below), whose sum is σ = 245419200. Its totient is φ = 19994688.

The previous prime is 73936241. The next prime is 73936301. The reversal of 73936296 is 69263937.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (367416) is a multiple of the sum of its prime divisors (1134).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66481 + ... + 67583.

It is an arithmetic number, because the mean of its divisors is an integer number (1704300).

Almost surely, 2^73936296 is an apocalyptic number.

73936296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73936296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122709600).

73936296 is an abundant number, since it is smaller than the sum of its proper divisors (171482904).

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

73936296 is a wasteful number, since it uses less digits than its factorization.

73936296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 73936296 is about 8598.6217500248. The cubic root of 73936296 is about 419.7131374491.

It can be divided in two parts, 7393 and 6296, that added together give a square (13689 = 117²).

The spelling of 73936296 in words is "seventy-three million, nine hundred thirty-six thousand, two hundred ninety-six".