112539672 has 192 divisors, whose sum is σ = 376473600. Its totient is φ = 31116960.

The previous prime is 112539671. The next prime is 112539673. The reversal of 112539672 is 276935211.

112539672 is a `hidden beast` number, since 112 + 539 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112539671) and next prime (112539673).

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

Its product of digits (22680) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112539671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3630297 + ... + 3630327.

It is an arithmetic number, because the mean of its divisors is an integer number (1960800).

Almost surely, 2^112539672 is an apocalyptic number.

112539672 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 112539672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188236800).

112539672 is an abundant number, since it is smaller than the sum of its proper divisors (263933928).

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

112539672 is an frugal number, since it uses more digits than its factorization.

112539672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 43 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 112539672 is about 10608.4717089692. The cubic root of 112539672 is about 482.8014306634.

The spelling of 112539672 in words is "one hundred twelve million, five hundred thirty-nine thousand, six hundred seventy-two".