3972672 has 168 divisors, whose sum is σ = 13512800. Its totient is φ = 1140480.

The previous prime is 3972671. The next prime is 3972697. The reversal of 3972672 is 2762793.

3972672 is a `hidden beast` number, since 397 + 267 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3972671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209079 + ... + 209097.

Almost surely, 2^3972672 is an apocalyptic number.

3972672 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 3972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756400).

3972672 is an abundant number, since it is smaller than the sum of its proper divisors (9540128).

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

3972672 is a wasteful number, since it uses less digits than its factorization.

3972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

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

The square root of 3972672 is about 1993.1562909115. The cubic root of 3972672 is about 158.3777746595.

The spelling of 3972672 in words is "three million, nine hundred seventy-two thousand, six hundred seventy-two".