112953372 has 96 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 29976576.

The previous prime is 112953353. The next prime is 112953377. The reversal of 112953372 is 273359211.

It is a super-3 number, since 3×112953372³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112953377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118048 + ... + 119000.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2^112953372 is an apocalyptic number.

112953372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112953372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

112953372 is an abundant number, since it is smaller than the sum of its proper divisors (210154980).

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

112953372 is a wasteful number, since it uses less digits than its factorization.

112953372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 112953372 is about 10627.9523898068. The cubic root of 112953372 is about 483.3923058708.

The spelling of 112953372 in words is "one hundred twelve million, nine hundred fifty-three thousand, three hundred seventy-two".