82272400 has 60 divisors (see below), whose sum is σ = 225904192. Its totient is φ = 28206720.

The previous prime is 82272353. The next prime is 82272427. The reversal of 82272400 is 427228.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11892 + ... + 17491.

Almost surely, 2^82272400 is an apocalyptic number.

82272400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82272400 is an abundant number, since it is smaller than the sum of its proper divisors (143631792).

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

82272400 is a wasteful number, since it uses less digits than its factorization.

82272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29408 (or 29397 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 82272400 is about 9070.4134415141. The cubic root of 82272400 is about 434.9286887111.

Adding to 82272400 its reverse (427228), we get a palindrome (82699628).

The spelling of 82272400 in words is "eighty-two million, two hundred seventy-two thousand, four hundred".