71511648 has 48 divisors (see below), whose sum is σ = 202161456. Its totient is φ = 22003200.

The previous prime is 71511641. The next prime is 71511679. The reversal of 71511648 is 84611517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×71511648² = 10227831599351808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71511641) 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, 27403 + ... + 29898.

It is an arithmetic number, because the mean of its divisors is an integer number (4211697).

Almost surely, 2^71511648 is an apocalyptic number.

71511648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71511648 is an abundant number, since it is smaller than the sum of its proper divisors (130649808).

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

71511648 is a wasteful number, since it uses less digits than its factorization.

71511648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57327 (or 57319 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 71511648 is about 8456.4559952737. The cubic root of 71511648 is about 415.0740623612.

The spelling of 71511648 in words is "seventy-one million, five hundred eleven thousand, six hundred forty-eight".