81872952 has 128 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 21731328.

The previous prime is 81872951. The next prime is 81872977. The reversal of 81872952 is 25927818.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81872951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311173 + ... + 311435.

It is an arithmetic number, because the mean of its divisors is an integer number (1960200).

Almost surely, 2^81872952 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 81872952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

81872952 is an abundant number, since it is smaller than the sum of its proper divisors (169032648).

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

81872952 is a wasteful number, since it uses less digits than its factorization.

81872952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 81872952 is about 9048.3673665474. The cubic root of 81872952 is about 434.2236595562.

The spelling of 81872952 in words is "eighty-one million, eight hundred seventy-two thousand, nine hundred fifty-two".