39720672 has 96 divisors (see below), whose sum is σ = 119669760. Its totient is φ = 12804480.

The previous prime is 39720643. The next prime is 39720679. The reversal of 39720672 is 27602793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39720679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26043 + ... + 27525.

It is an arithmetic number, because the mean of its divisors is an integer number (1246560).

Almost surely, 2^39720672 is an apocalyptic number.

39720672 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 39720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59834880).

39720672 is an abundant number, since it is smaller than the sum of its proper divisors (79949088).

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

39720672 is a wasteful number, since it uses less digits than its factorization.

39720672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 39720672 is about 6302.4338155985. The cubic root of 39720672 is about 341.1972554636.

The spelling of 39720672 in words is "thirty-nine million, seven hundred twenty thousand, six hundred seventy-two".