71293152 has 96 divisors (see below), whose sum is σ = 215212032. Its totient is φ = 20242944.

The previous prime is 71293147. The next prime is 71293193. The reversal of 71293152 is 25139217.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185953 + ... + 186335.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 2^71293152 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 71293152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107606016).

71293152 is an abundant number, since it is smaller than the sum of its proper divisors (143918880).

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

71293152 is a wasteful number, since it uses less digits than its factorization.

71293152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 71293152 is about 8443.5272250405. The cubic root of 71293152 is about 414.6508933229.

The spelling of 71293152 in words is "seventy-one million, two hundred ninety-three thousand, one hundred fifty-two".