71466320 has 80 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 27520512.

The previous prime is 71466299. The next prime is 71466331. The reversal of 71466320 is 2366417.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 311966 + ... + 312194.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 2^71466320 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 71466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

71466320 is an abundant number, since it is smaller than the sum of its proper divisors (101022640).

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

71466320 is a wasteful number, since it uses less digits than its factorization.

71466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 71466320 is about 8453.7754879107. The cubic root of 71466320 is about 414.9863449322.

The spelling of 71466320 in words is "seventy-one million, four hundred sixty-six thousand, three hundred twenty".