7972107 has 16 divisors (see below), whose sum is σ = 12488448. Its totient is φ = 4459680.

The previous prime is 7972103. The next prime is 7972121. The reversal of 7972107 is 7012797.

It is not a de Polignac number, because 7972107 - 2² = 7972103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7972103) 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, 8863 + ... + 9720.

It is an arithmetic number, because the mean of its divisors is an integer number (780528).

Almost surely, 2^7972107 is an apocalyptic number.

7972107 is a deficient number, since it is larger than the sum of its proper divisors (4516341).

7972107 is a wasteful number, since it uses less digits than its factorization.

7972107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610.

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 7972107 is about 2823.4919868843. The cubic root of 7972107 is about 199.7672876632.

The spelling of 7972107 in words is "seven million, nine hundred seventy-two thousand, one hundred seven".