71490 has 16 divisors (see below), whose sum is σ = 171648. Its totient is φ = 19056.

The previous prime is 71483. The next prime is 71503. The reversal of 71490 is 9417.

It is a super-2 number, since 2×71490² = 10221640200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71490.

It is an unprimeable number.

71490 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (10728).

2⁷¹⁴⁹⁰ is an apocalyptic number.

71490 is an abundant number, since it is smaller than the sum of its proper divisors (100158).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85824).

71490 is a wasteful number, since it uses less digits than its factorization.

71490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71490 is about 267.3761395488. The cubic root of 71490 is about 41.5032174406.

It can be divided in two parts, 71 and 490, that added together give a triangular number (561 = T₃₃).

The spelling of 71490 in words is "seventy-one thousand, four hundred ninety".