71242416 has 100 divisors (see below), whose sum is σ = 235682832. Its totient is φ = 20352384.

The previous prime is 71242411. The next prime is 71242421. The reversal of 71242416 is 61424217.

71242416 is a `hidden beast` number, since 7 + 1 + 242 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (71242411) and next prime (71242421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71242416.

It is not an unprimeable number, because it can be changed into a prime (71242411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5146 + ... + 12998.

Almost surely, 2^71242416 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 71242416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117841416).

71242416 is an abundant number, since it is smaller than the sum of its proper divisors (164440416).

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

71242416 is a wasteful number, since it uses less digits than its factorization.

71242416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7865 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 71242416 is about 8440.5222587231. The cubic root of 71242416 is about 414.5525074348.

The spelling of 71242416 in words is "seventy-one million, two hundred forty-two thousand, four hundred sixteen".