73140936 has 128 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 20321280.

The previous prime is 73140913. The next prime is 73140961. The reversal of 73140936 is 63904137.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73140897 and 73140906.

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, 192795 + ... + 193173.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 2^73140936 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 73140936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

73140936 is an abundant number, since it is smaller than the sum of its proper divisors (143550264).

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

73140936 is a wasteful number, since it uses less digits than its factorization.

73140936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 73140936 is about 8552.2474239231. The cubic root of 73140936 is about 418.2027053438.

It can be divided in two parts, 731409 and 36, that added together give a triangular number (731445 = T₁₂₀₉).

The spelling of 73140936 in words is "seventy-three million, one hundred forty thousand, nine hundred thirty-six".