71622496 has 48 divisors (see below), whose sum is σ = 162887760. Its totient is φ = 30638080.

The previous prime is 71622487. The next prime is 71622503. The reversal of 71622496 is 69422617.

71622496 is a nontrivial binomial coefficient, being equal to C(11969, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 11968.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2^71622496 is an apocalyptic number.

71622496 is the 11968-th triangular number.

71622496 is the 3990-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71622496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81443880).

71622496 is an abundant number, since it is smaller than the sum of its proper divisors (91265264).

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

71622496 is a wasteful number, since it uses less digits than its factorization.

71622496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 11999 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 71622496 is about 8463.0075032461. The cubic root of 71622496 is about 415.2884161457.

The spelling of 71622496 in words is "seventy-one million, six hundred twenty-two thousand, four hundred ninety-six".