39722112 has 144 divisors (see below), whose sum is σ = 121269330. Its totient is φ = 12472320.

The previous prime is 39722101. The next prime is 39722113. The reversal of 39722112 is 21122793.

It can be written as a sum of positive squares in 3 ways, for example, as 25160256 + 14561856 = 5016^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (39722113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 968812 + ... + 968852.

Almost surely, 2^39722112 is an apocalyptic number.

39722112 is a gapful number since it is divisible by the number (32) 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 39722112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60634665).

39722112 is an abundant number, since it is smaller than the sum of its proper divisors (81547218).

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

39722112 is a wasteful number, since it uses less digits than its factorization.

39722112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 75 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 39722112 is about 6302.5480561436. The cubic root of 39722112 is about 341.2013785737.

It can be divided in two parts, 3972 and 2112, that added together give a square (6084 = 78²).

The spelling of 39722112 in words is "thirty-nine million, seven hundred twenty-two thousand, one hundred twelve".