39972480 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 10506240.

The previous prime is 39972463. The next prime is 39972487. The reversal of 39972480 is 8427993.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39972487) 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, 209185 + ... + 209375.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^39972480 is an apocalyptic number.

39972480 is a gapful number since it is divisible by the number (30) 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 39972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

39972480 is an abundant number, since it is smaller than the sum of its proper divisors (89281920).

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

39972480 is a wasteful number, since it uses less digits than its factorization.

39972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 39972480 is about 6322.3792989665. The cubic root of 39972480 is about 341.9167404449.

The spelling of 39972480 in words is "thirty-nine million, nine hundred seventy-two thousand, four hundred eighty".