7972041 has 16 divisors (see below), whose sum is σ = 13252608. Its totient is φ = 4141200.

The previous prime is 7972033. The next prime is 7972043. The reversal of 7972041 is 1402797.

It is not a de Polignac number, because 7972041 - 2³ = 7972033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7972043) 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, 17025 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (828288).

Almost surely, 2^7972041 is an apocalyptic number.

It is an amenable number.

7972041 is a deficient number, since it is larger than the sum of its proper divisors (5280567).

7972041 is a wasteful number, since it uses less digits than its factorization.

7972041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34532.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 7972041 is about 2823.4802992052. The cubic root of 7972041 is about 199.7667363795.

The spelling of 7972041 in words is "seven million, nine hundred seventy-two thousand, forty-one".