3792672 has 72 divisors (see below), whose sum is σ = 11626524. Its totient is φ = 1165824.

The previous prime is 3792671. The next prime is 3792673. The reversal of 3792672 is 2762973.

It is an interprime number because it is at equal distance from previous prime (3792671) and next prime (3792673).

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 1089936 = 1644^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (3792671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3238 + ... + 4250.

Almost surely, 2^3792672 is an apocalyptic number.

3792672 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 3792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813262).

3792672 is an abundant number, since it is smaller than the sum of its proper divisors (7833852).

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

3792672 is a wasteful number, since it uses less digits than its factorization.

3792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

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

The square root of 3792672 is about 1947.4783695846. The cubic root of 3792672 is about 155.9487010815.

The spelling of 3792672 in words is "three million, seven hundred ninety-two thousand, six hundred seventy-two".