71641920 has 168 divisors, whose sum is σ = 264773664. Its totient is φ = 16364544.

The previous prime is 71641907. The next prime is 71641931. The reversal of 71641920 is 2914617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46279 + ... + 47801.

Almost surely, 2^71641920 is an apocalyptic number.

71641920 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 71641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132386832).

71641920 is an abundant number, since it is smaller than the sum of its proper divisors (193131744).

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

71641920 is a wasteful number, since it uses less digits than its factorization.

71641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 71641920 is about 8464.1550080324. The cubic root of 71641920 is about 415.3259547848.

The spelling of 71641920 in words is "seventy-one million, six hundred forty-one thousand, nine hundred twenty".