71293872 has 80 divisors (see below), whose sum is σ = 201702368. Its totient is φ = 21565440.

The previous prime is 71293837. The next prime is 71293879. The reversal of 71293872 is 27839217.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 71293872.

It is not an unprimeable number, because it can be changed into a prime (71293879) 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, 37128 + ... + 39000.

Almost surely, 2^71293872 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 71293872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100851184).

71293872 is an abundant number, since it is smaller than the sum of its proper divisors (130408496).

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

71293872 is a wasteful number, since it uses less digits than its factorization.

71293872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 71293872 is about 8443.5698611429. The cubic root of 71293872 is about 414.6522891916.

The spelling of 71293872 in words is "seventy-one million, two hundred ninety-three thousand, eight hundred seventy-two".