71670720 has 168 divisors, whose sum is σ = 250527312. Its totient is φ = 17346560.

The previous prime is 71670713. The next prime is 71670733. The reversal of 71670720 is 2707617.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115852 + ... + 116468.

It is an arithmetic number, because the mean of its divisors is an integer number (1491234).

Almost surely, 2^71670720 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 71670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125263656).

71670720 is an abundant number, since it is smaller than the sum of its proper divisors (178856592).

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

71670720 is a wasteful number, since it uses less digits than its factorization.

71670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 71670720 is about 8465.8561291815. The cubic root of 71670720 is about 415.3816009067.

It can be divided in two parts, 71670 and 720, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 71670720 in words is "seventy-one million, six hundred seventy thousand, seven hundred twenty".