71913920 has 112 divisors (see below), whose sum is σ = 188183520. Its totient is φ = 26013696.

The previous prime is 71913911. The next prime is 71913929. The reversal of 71913920 is 2931917.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71913911) and next prime (71913929).

It is a super-2 number, since 2×71913920² = 10343223779532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71913929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245294 + ... + 245586.

It is an arithmetic number, because the mean of its divisors is an integer number (1680210).

Almost surely, 2^71913920 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 71913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94091760).

71913920 is an abundant number, since it is smaller than the sum of its proper divisors (116269600).

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

71913920 is a wasteful number, since it uses less digits than its factorization.

71913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 71913920 is about 8480.2075446300. The cubic root of 71913920 is about 415.8509081112.

It can be divided in two parts, 7191 and 3920, that added together give a palindrome (11111).

The spelling of 71913920 in words is "seventy-one million, nine hundred thirteen thousand, nine hundred twenty".