71466990 has 96 divisors (see below), whose sum is σ = 203049504. Its totient is φ = 16047360.

The previous prime is 71466971. The next prime is 71467001. The reversal of 71466990 is 9966417.

71466990 is a nontrivial binomial coefficient, being equal to C(11956, 2).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89272 + ... + 90068.

It is an arithmetic number, because the mean of its divisors is an integer number (2115099).

Almost surely, 2^71466990 is an apocalyptic number.

71466990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71466990 is the 11955-th triangular number and also the 5978-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71466990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101524752).

71466990 is an abundant number, since it is smaller than the sum of its proper divisors (131582514).

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

71466990 is a wasteful number, since it uses less digits than its factorization.

71466990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 71466990 is about 8453.8151150827. The cubic root of 71466990 is about 414.9876417668.

It can be divided in two parts, 71 and 466990, that added together give a triangular number (467061 = T₉₆₆).

The spelling of 71466990 in words is "seventy-one million, four hundred sixty-six thousand, nine hundred ninety".