39105472 has 56 divisors (see below), whose sum is σ = 90891360. Its totient is φ = 16343040.

The previous prime is 39105461. The next prime is 39105499. The reversal of 39105472 is 27450193.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17304 + ... + 19432.

It is an arithmetic number, because the mean of its divisors is an integer number (1623060).

Almost surely, 2^39105472 is an apocalyptic number.

39105472 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 39105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45445680).

39105472 is an abundant number, since it is smaller than the sum of its proper divisors (51785888).

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

39105472 is a wasteful number, since it uses less digits than its factorization.

39105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 39105472 is about 6253.4368150642. The cubic root of 39105472 is about 339.4265766954.

The spelling of 39105472 in words is "thirty-nine million, one hundred five thousand, four hundred seventy-two".