73871136 has 96 divisors (see below), whose sum is σ = 217062720. Its totient is φ = 24440832.

The previous prime is 73871131. The next prime is 73871141. The reversal of 73871136 is 63117837.

It is an interprime number because it is at equal distance from previous prime (73871131) and next prime (73871141).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73871136.

It is not an unprimeable number, because it can be changed into a prime (73871131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166531 + ... + 166973.

It is an arithmetic number, because the mean of its divisors is an integer number (2261070).

Almost surely, 2^73871136 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 73871136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108531360).

73871136 is an abundant number, since it is smaller than the sum of its proper divisors (143191584).

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

73871136 is a wasteful number, since it uses less digits than its factorization.

73871136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 73871136 is about 8594.8319355296. The cubic root of 73871136 is about 419.5898035904.

The spelling of 73871136 in words is "seventy-three million, eight hundred seventy-one thousand, one hundred thirty-six".