3672972 has 48 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1204560.

The previous prime is 3672971. The next prime is 3672997. The reversal of 3672972 is 2792763.

3672972 is a `hidden beast` number, since 367 + 297 + 2 = 666.

3672972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (3672971) 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, 7429 + ... + 7907.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^3672972 is an apocalyptic number.

It is a pronic number, being equal to 1916×1917.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3672972 is an abundant number, since it is smaller than the sum of its proper divisors (6003828).

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

3672972 is a wasteful number, since it uses less digits than its factorization.

3672972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

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

The square root of 3672972 is about 1916.4999347769. The cubic root of 3672972 is about 154.2905069058.

The spelling of 3672972 in words is "three million, six hundred seventy-two thousand, nine hundred seventy-two".