71158464 has 252 divisors, whose sum is σ = 239289336. Its totient is φ = 20127744.

The previous prime is 71158463. The next prime is 71158469. The reversal of 71158464 is 46485117.

It is a happy number.

71158464 is a `hidden beast` number, since 7 + 11 + 584 + 64 = 666.

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 (71158463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1654827 + ... + 1654869.

Almost surely, 2^71158464 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 71158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119644668).

71158464 is an abundant number, since it is smaller than the sum of its proper divisors (168130872).

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

71158464 is a wasteful number, since it uses less digits than its factorization.

71158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71158464 is about 8435.5476407878. The cubic root of 71158464 is about 414.3896073282.

The spelling of 71158464 in words is "seventy-one million, one hundred fifty-eight thousand, four hundred sixty-four".