71733960 has 48 divisors (see below), whose sum is σ = 233136540. Its totient is φ = 19128960.

The previous prime is 71733953. The next prime is 71733967. The reversal of 71733960 is 6933717.

It is an interprime number because it is at equal distance from previous prime (71733953) and next prime (71733967).

It can be written as a sum of positive squares in 2 ways, for example, as 59074596 + 12659364 = 7686^2 + 3558^2 .

It is a super-2 number, since 2×71733960² = 10291522034563200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71733967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99271 + ... + 99990.

Almost surely, 2^71733960 is an apocalyptic number.

It is an amenable number.

71733960 is an abundant number, since it is smaller than the sum of its proper divisors (161402580).

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

71733960 is a wasteful number, since it uses less digits than its factorization.

71733960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199278 (or 199271 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 71733960 is about 8469.5903088638. The cubic root of 71733960 is about 415.5037382313.

The spelling of 71733960 in words is "seventy-one million, seven hundred thirty-three thousand, nine hundred sixty".