132072444 has 216 divisors, whose sum is σ = 418279680. Its totient is φ = 36306144.

The previous prime is 132072443. The next prime is 132072469. The reversal of 132072444 is 444270231.

132072444 is a `hidden beast` number, since 13 + 207 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132072443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2238487 + ... + 2238545.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^132072444 is an apocalyptic number.

132072444 is a gapful number since it is divisible by the number (14) 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 132072444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

132072444 is an abundant number, since it is smaller than the sum of its proper divisors (286207236).

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

132072444 is a wasteful number, since it uses less digits than its factorization.

132072444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 132072444 is about 11492.2775810542. The cubic root of 132072444 is about 509.2574661463.

It can be divided in two parts, 13207 and 2444, that added together give a palindrome (15651).

The spelling of 132072444 in words is "one hundred thirty-two million, seventy-two thousand, four hundred forty-four".