71164400 has 60 divisors (see below), whose sum is σ = 172980000. Its totient is φ = 28131840.

The previous prime is 71164393. The next prime is 71164409. The reversal of 71164400 is 446117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71164409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34601 + ... + 36599.

It is an arithmetic number, because the mean of its divisors is an integer number (2883000).

Almost surely, 2^71164400 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 71164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86490000).

71164400 is an abundant number, since it is smaller than the sum of its proper divisors (101815600).

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

71164400 is a wasteful number, since it uses less digits than its factorization.

71164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 71164400 is about 8435.8994778269. The cubic root of 71164400 is about 414.4011297257.

The spelling of 71164400 in words is "seventy-one million, one hundred sixty-four thousand, four hundred".