71621564 has 48 divisors (see below), whose sum is σ = 153323520. Its totient is φ = 28589760.

The previous prime is 71621549. The next prime is 71621567. The reversal of 71621564 is 46512617.

It is a self number, because there is not a number n which added to its sum of digits gives 71621564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71621567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31349 + ... + 33555.

It is an arithmetic number, because the mean of its divisors is an integer number (3194240).

Almost surely, 2^71621564 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 71621564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76661760).

71621564 is an abundant number, since it is smaller than the sum of its proper divisors (81701956).

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

71621564 is a wasteful number, since it uses less digits than its factorization.

71621564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 71621564 is about 8462.9524398994. The cubic root of 71621564 is about 415.2866148007.

The spelling of 71621564 in words is "seventy-one million, six hundred twenty-one thousand, five hundred sixty-four".