71782464 has 56 divisors (see below), whose sum is σ = 204541120. Its totient is φ = 22086144.

The previous prime is 71782463. The next prime is 71782507. The reversal of 71782464 is 46428717.

It is a super-2 number, since 2×71782464² = 10305444275822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (71782463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11884 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (3652520).

Almost surely, 2^71782464 is an apocalyptic number.

It is an amenable number.

71782464 is an abundant number, since it is smaller than the sum of its proper divisors (132758656).

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

71782464 is a wasteful number, since it uses less digits than its factorization.

71782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28787 (or 28777 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 71782464 is about 8472.4532456662. The cubic root of 71782464 is about 415.5973668402.

The spelling of 71782464 in words is "seventy-one million, seven hundred eighty-two thousand, four hundred sixty-four".