71265120 has 48 divisors (see below), whose sum is σ = 224486640. Its totient is φ = 19003904.

The previous prime is 71265119. The next prime is 71265121. The reversal of 71265120 is 2156217.

It is an interprime number because it is at equal distance from previous prime (71265119) and next prime (71265121).

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

It is a super-2 number, since 2×71265120² = 10157434657228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71265121) 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, 73755 + ... + 74714.

It is an arithmetic number, because the mean of its divisors is an integer number (4676805).

Almost surely, 2^71265120 is an apocalyptic number.

It is an amenable number.

71265120 is an abundant number, since it is smaller than the sum of its proper divisors (153221520).

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

71265120 is a wasteful number, since it uses less digits than its factorization.

71265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148487 (or 148479 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 71265120 is about 8441.8670920597. The cubic root of 71265120 is about 414.5965401941.

It can be divided in two parts, 7126 and 5120, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 71265120 in words is "seventy-one million, two hundred sixty-five thousand, one hundred twenty".