71487120 has 160 divisors (see below), whose sum is σ = 238020480. Its totient is φ = 17694720.

The previous prime is 71487109. The next prime is 71487121. The reversal of 71487120 is 2178417.

It is a super-2 number, since 2×71487120² = 10220816651788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71487121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278032 + ... + 278288.

It is an arithmetic number, because the mean of its divisors is an integer number (1487628).

Almost surely, 2^71487120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119010240).

71487120 is an abundant number, since it is smaller than the sum of its proper divisors (166533360).

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

71487120 is a wasteful number, since it uses less digits than its factorization.

71487120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 71487120 is about 8455.0056179757. The cubic root of 71487120 is about 415.0266010916.

The spelling of 71487120 in words is "seventy-one million, four hundred eighty-seven thousand, one hundred twenty".