71429760 has 96 divisors (see below), whose sum is σ = 246675780. Its totient is φ = 19046400.

The previous prime is 71429747. The next prime is 71429773. The reversal of 71429760 is 6792417.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71429747) and next prime (71429773).

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 1272384 = 8376^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×71429760² = 10204421227315200, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 11960.

Almost surely, 2^71429760 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 71429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123337890).

71429760 is an abundant number, since it is smaller than the sum of its proper divisors (175246020).

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

71429760 is a wasteful number, since it uses less digits than its factorization.

71429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 71429760 is about 8451.6128638266. The cubic root of 71429760 is about 414.9155680559.

The spelling of 71429760 in words is "seventy-one million, four hundred twenty-nine thousand, seven hundred sixty".