71456364 has 96 divisors (see below), whose sum is σ = 218624000. Its totient is φ = 19751040.

The previous prime is 71456351. The next prime is 71456381. The reversal of 71456364 is 46365417.

It is a happy number.

71456364 is a `hidden beast` number, since 7 + 14 + 5 + 636 + 4 = 666.

It is a super-2 number, since 2×71456364² = 10212023912200992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21912 + ... + 24960.

Almost surely, 2^71456364 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 71456364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109312000).

71456364 is an abundant number, since it is smaller than the sum of its proper divisors (147167636).

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

71456364 is a wasteful number, since it uses less digits than its factorization.

71456364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3092 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 71456364 is about 8453.1866180749. The cubic root of 71456364 is about 414.9670734025.

The spelling of 71456364 in words is "seventy-one million, four hundred fifty-six thousand, three hundred sixty-four".