71621760 has 192 divisors, whose sum is σ = 264530880. Its totient is φ = 16146432.

The previous prime is 71621743. The next prime is 71621801. The reversal of 71621760 is 6712617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 981084 + ... + 981156.

It is an arithmetic number, because the mean of its divisors is an integer number (1377765).

Almost surely, 2^71621760 is an apocalyptic number.

71621760 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 71621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132265440).

71621760 is an abundant number, since it is smaller than the sum of its proper divisors (192909120).

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

71621760 is an equidigital number, since it uses as much as digits as its factorization.

71621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 71621760 is about 8462.9640197746. The cubic root of 71621760 is about 415.2869936256.

The spelling of 71621760 in words is "seventy-one million, six hundred twenty-one thousand, seven hundred sixty".