106752672 has 72 divisors (see below), whose sum is σ = 326941524. Its totient is φ = 32845824.

The previous prime is 106752661. The next prime is 106752677. The reversal of 106752672 is 276257601.

106752672 is a `hidden beast` number, since 1 + 0 + 67 + 526 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105760656 + 992016 = 10284^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106752672² = 22792265958279168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106752677) 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 11 ways as a sum of consecutive naturals, for example, 10513 + ... + 18000.

Almost surely, 2^106752672 is an apocalyptic number.

106752672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106752672 is an abundant number, since it is smaller than the sum of its proper divisors (220188852).

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

106752672 is a wasteful number, since it uses less digits than its factorization.

106752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28542 (or 28531 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106752672 is about 10332.1184662198. The cubic root of 106752672 is about 474.3798696038.

The spelling of 106752672 in words is "one hundred six million, seven hundred fifty-two thousand, six hundred seventy-two".