71262464 has 216 divisors, whose sum is σ = 195733440. Its totient is φ = 25546752.

The previous prime is 71262463. The next prime is 71262479. The reversal of 71262464 is 46426217.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (16128) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 71262464.

It is not an unprimeable number, because it can be changed into a prime (71262463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098357 + ... + 3098379.

Almost surely, 2^71262464 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 71262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

71262464 is an abundant number, since it is smaller than the sum of its proper divisors (124470976).

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

71262464 is a wasteful number, since it uses less digits than its factorization.

71262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 71262464 is about 8441.7097794226. The cubic root of 71262464 is about 414.5913895581.

The spelling of 71262464 in words is "seventy-one million, two hundred sixty-two thousand, four hundred sixty-four".