96222672 has 180 divisors, whose sum is σ = 337673700. Its totient is φ = 25353216.

The previous prime is 96222671. The next prime is 96222673. The reversal of 96222672 is 27622269.

96222672 is a `hidden beast` number, since 9 + 622 + 26 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (96222671) and next prime (96222673).

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 44036496 = 7224^2 + 6636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96222671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91204 + ... + 92252.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^96222672 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 96222672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836850).

96222672 is an abundant number, since it is smaller than the sum of its proper divisors (241451028).

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

96222672 is a wasteful number, since it uses less digits than its factorization.

96222672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1074 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 96222672 is about 9809.3155724546. The cubic root of 96222672 is about 458.2394456136.

It can be divided in two parts, 9622267 and 2, that added together give a palindrome (9622269).

The spelling of 96222672 in words is "ninety-six million, two hundred twenty-two thousand, six hundred seventy-two".