70416 has 40 divisors (see below), whose sum is σ = 203360. Its totient is φ = 23328.

The previous prime is 70393. The next prime is 70423. The reversal of 70416 is 61407.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (5084).

2⁷⁰⁴¹⁶ 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 70416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101680).

70416 is an abundant number, since it is smaller than the sum of its proper divisors (132944).

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

70416 is a wasteful number, since it uses less digits than its factorization.

70416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70416 is about 265.3601326500. The cubic root of 70416 is about 41.2943325029.

Subtracting from 70416 its reverse (61407), we obtain a palindrome (9009).

The spelling of 70416 in words is "seventy thousand, four hundred sixteen".