39051072 has 140 divisors (see below), whose sum is σ = 119985536. Its totient is φ = 12597120.

The previous prime is 39051071. The next prime is 39051073. The reversal of 39051072 is 27015093.

39051072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39051071) and next prime (39051073).

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 (39051071) 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 19 ways as a sum of consecutive naturals, for example, 1259697 + ... + 1259727.

Almost surely, 2^39051072 is an apocalyptic number.

39051072 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 39051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59992768).

39051072 is an abundant number, since it is smaller than the sum of its proper divisors (80934464).

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

39051072 is an frugal number, since it uses more digits than its factorization.

39051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 39051072 is about 6249.0856931234. The cubic root of 39051072 is about 339.2691104583.

The spelling of 39051072 in words is "thirty-nine million, fifty-one thousand, seventy-two".