71515872 has 144 divisors (see below), whose sum is σ = 223724592. Its totient is φ = 22394880.

The previous prime is 71515841. The next prime is 71515879. The reversal of 71515872 is 27851517.

71515872 is a `hidden beast` number, since 71 + 5 + 1 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×71515872² = 10229039895840768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71515879) 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, 131922 + ... + 132462.

It is an arithmetic number, because the mean of its divisors is an integer number (1553643).

Almost surely, 2^71515872 is an apocalyptic number.

71515872 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 71515872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111862296).

71515872 is an abundant number, since it is smaller than the sum of its proper divisors (152208720).

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

71515872 is a wasteful number, since it uses less digits than its factorization.

71515872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 71515872 is about 8456.7057415994. The cubic root of 71515872 is about 415.0822346351.

The spelling of 71515872 in words is "seventy-one million, five hundred fifteen thousand, eight hundred seventy-two".