71648352 has 36 divisors (see below), whose sum is σ = 203750820. Its totient is φ = 23882688.

The previous prime is 71648333. The next prime is 71648359. The reversal of 71648352 is 25384617.

71648352 is a `hidden beast` number, since 7 + 1 + 648 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71648359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124102 + ... + 124677.

It is an arithmetic number, because the mean of its divisors is an integer number (5659745).

Almost surely, 2^71648352 is an apocalyptic number.

71648352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71648352 is an abundant number, since it is smaller than the sum of its proper divisors (132102468).

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

71648352 is a wasteful number, since it uses less digits than its factorization.

71648352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248795 (or 248784 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71648352 is about 8464.5349547391. The cubic root of 71648352 is about 415.3383837119.

The spelling of 71648352 in words is "seventy-one million, six hundred forty-eight thousand, three hundred fifty-two".