39729152 has 48 divisors (see below), whose sum is σ = 83701800. Its totient is φ = 18800640.

The previous prime is 39729127. The next prime is 39729169. The reversal of 39729152 is 25192793.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38402 + ... + 39422.

Almost surely, 2^39729152 is an apocalyptic number.

39729152 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 39729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850900).

39729152 is an abundant number, since it is smaller than the sum of its proper divisors (43972648).

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

39729152 is a wasteful number, since it uses less digits than its factorization.

39729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1042 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 39729152 is about 6303.1065356695. The cubic root of 39729152 is about 341.2215345665.

The spelling of 39729152 in words is "thirty-nine million, seven hundred twenty-nine thousand, one hundred fifty-two".