3972675 has 72 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 1700160.

The previous prime is 3972671. The next prime is 3972697. The reversal of 3972675 is 5762793.

It is not a de Polignac number, because 3972675 - 2² = 3972671 is a prime.

It is a d-powerful number, because it can be written as 3 + 9² + 7² + 2²¹ + 6⁸ + 7⁶ + 5⁷ .

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 71 ways as a sum of consecutive naturals, for example, 84502 + ... + 84548.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

Almost surely, 2^3972675 is an apocalyptic number.

3972675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3972675 is an abundant number, since it is smaller than the sum of its proper divisors (4169661).

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

3972675 is a wasteful number, since it uses less digits than its factorization.

3972675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 3972675 is about 1993.1570434865. The cubic root of 3972675 is about 158.3778145263.

The spelling of 3972675 in words is "three million, nine hundred seventy-two thousand, six hundred seventy-five".