71678592 has 96 divisors (see below), whose sum is σ = 211205280. Its totient is φ = 23321088.

The previous prime is 71678591. The next prime is 71678597. The reversal of 71678592 is 29587617.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×71678592² = 10275641102204928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71678591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48813 + ... + 50259.

It is an arithmetic number, because the mean of its divisors is an integer number (2200055).

Almost surely, 2^71678592 is an apocalyptic number.

71678592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71678592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105602640).

71678592 is an abundant number, since it is smaller than the sum of its proper divisors (139526688).

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

71678592 is a wasteful number, since it uses less digits than its factorization.

71678592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1495 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 71678592 is about 8466.3210428143. The cubic root of 71678592 is about 415.3968082524.

The spelling of 71678592 in words is "seventy-one million, six hundred seventy-eight thousand, five hundred ninety-two".