71369200 has 120 divisors (see below), whose sum is σ = 199272960. Its totient is φ = 24057600.

The previous prime is 71369147. The next prime is 71369201. The reversal of 71369200 is 296317.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71369201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198621 + ... + 198979.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^71369200 is an apocalyptic number.

71369200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71369200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

71369200 is an abundant number, since it is smaller than the sum of its proper divisors (127903760).

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

71369200 is a wasteful number, since it uses less digits than its factorization.

71369200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 71369200 is about 8448.0293560096. The cubic root of 71369200 is about 414.7982761814.

The spelling of 71369200 in words is "seventy-one million, three hundred sixty-nine thousand, two hundred".