71939072 has 44 divisors (see below), whose sum is σ = 145025856. Its totient is φ = 35665920.

The previous prime is 71939071. The next prime is 71939083. The reversal of 71939072 is 27093917.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71939071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166697 + ... + 167127.

Almost surely, 2^71939072 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 71939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72512928).

71939072 is an abundant number, since it is smaller than the sum of its proper divisors (73086784).

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

71939072 is a wasteful number, since it uses less digits than its factorization.

71939072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 71939072 is about 8481.6903975564. The cubic root of 71939072 is about 415.8993839504.

The spelling of 71939072 in words is "seventy-one million, nine hundred thirty-nine thousand, seventy-two".