82121472 has 108 divisors (see below), whose sum is σ = 245096040. Its totient is φ = 27122688.

The previous prime is 82121471. The next prime is 82121503. The reversal of 82121472 is 27412128.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82121471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753354 + ... + 753462.

Almost surely, 2^82121472 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 82121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122548020).

82121472 is an abundant number, since it is smaller than the sum of its proper divisors (162974568).

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

82121472 is an equidigital number, since it uses as much as digits as its factorization.

82121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 114 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 82121472 is about 9062.0898252004. The cubic root of 82121472 is about 434.6625682845.

Multiplying 82121472 by its sum of digits (27), we get a square (2217279744 = 47088²).

82121472 divided by its sum of digits (27) gives a square (3041536 = 1744²).

The spelling of 82121472 in words is "eighty-two million, one hundred twenty-one thousand, four hundred seventy-two".