39542272 has 160 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 14254080.

The previous prime is 39542201. The next prime is 39542273. The reversal of 39542272 is 27224593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (30240) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39542273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670179 + ... + 670237.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^39542272 is an apocalyptic number.

39542272 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 39542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

39542272 is an abundant number, since it is smaller than the sum of its proper divisors (66522368).

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

39542272 is a wasteful number, since it uses less digits than its factorization.

39542272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 39542272 is about 6288.2646254750. The cubic root of 39542272 is about 340.6856750989.

It can be divided in two parts, 3954 and 2272, that added together give a palindrome (6226).

The spelling of 39542272 in words is "thirty-nine million, five hundred forty-two thousand, two hundred seventy-two".