71355900 has 144 divisors (see below), whose sum is σ = 257483520. Its totient is φ = 14822400.

The previous prime is 71355883. The next prime is 71355931. The reversal of 71355900 is 955317.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21556 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (1788080).

Almost surely, 2^71355900 is an apocalyptic number.

71355900 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 71355900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128741760).

71355900 is an abundant number, since it is smaller than the sum of its proper divisors (186127620).

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

71355900 is a wasteful number, since it uses less digits than its factorization.

71355900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 71355900 is about 8447.2421535079. The cubic root of 71355900 is about 414.7725080172.

The spelling of 71355900 in words is "seventy-one million, three hundred fifty-five thousand, nine hundred".