71358240 has 48 divisors (see below), whose sum is σ = 224779968. Its totient is φ = 19028736.

The previous prime is 71358239. The next prime is 71358293. The reversal of 71358240 is 4285317.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 71358198 and 71358207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73852 + ... + 74811.

It is an arithmetic number, because the mean of its divisors is an integer number (4682916).

Almost surely, 2^71358240 is an apocalyptic number.

It is an amenable number.

71358240 is an abundant number, since it is smaller than the sum of its proper divisors (153421728).

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

71358240 is a wasteful number, since it uses less digits than its factorization.

71358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148681 (or 148673 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 71358240 is about 8447.3806591156. The cubic root of 71358240 is about 414.7770418962. Note that the first 3 decimals are identical.

The spelling of 71358240 in words is "seventy-one million, three hundred fifty-eight thousand, two hundred forty".