71415630 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 15379200.

The previous prime is 71415593. The next prime is 71415637. The reversal of 71415630 is 3651417.

71415630 is a `hidden beast` number, since 7 + 14 + 15 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71415594 and 71415603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71415637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398881 + ... + 399059.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^71415630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71415630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

71415630 is an abundant number, since it is smaller than the sum of its proper divisors (155021490).

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

71415630 is a wasteful number, since it uses less digits than its factorization.

71415630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71415630 is about 8450.7768873637. The cubic root of 71415630 is about 414.8882071744. Note that the first 3 decimals are identical.

The spelling of 71415630 in words is "seventy-one million, four hundred fifteen thousand, six hundred thirty".