71079552 has 128 divisors (see below), whose sum is σ = 212731200. Its totient is φ = 23362560.

The previous prime is 71079521. The next prime is 71079577. The reversal of 71079552 is 25597017.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452658 + ... + 452814.

Almost surely, 2^71079552 is an apocalyptic number.

71079552 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 71079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106365600).

71079552 is an abundant number, since it is smaller than the sum of its proper divisors (141651648).

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

71079552 is a wasteful number, since it uses less digits than its factorization.

71079552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 71079552 is about 8430.8689943564. The cubic root of 71079552 is about 414.2363699567.

It can be divided in two parts, 71079 and 552, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71079552 in words is "seventy-one million, seventy-nine thousand, five hundred fifty-two".