7872201 has 8 divisors (see below), whose sum is σ = 11662560. Its totient is φ = 5248116.

The previous prime is 7872191. The next prime is 7872217. The reversal of 7872201 is 1022787.

7872201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7872201 - 2¹⁹ = 7347913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 291563 = 7872201 / (7 + 8 + 7 + 2 + 2 + 0 + 1).

It is a d-powerful number, because it can be written as 7 + 8⁷ + 7⁸ + 2¹¹ + 2¹³ + 0 + 1 .

It is not an unprimeable number, because it can be changed into a prime (7872001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145755 + ... + 145808.

It is an arithmetic number, because the mean of its divisors is an integer number (1457820).

Almost surely, 2^7872201 is an apocalyptic number.

It is an amenable number.

7872201 is a deficient number, since it is larger than the sum of its proper divisors (3790359).

7872201 is a wasteful number, since it uses less digits than its factorization.

7872201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291572 (or 291566 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7872201 is about 2805.7442862813. The cubic root of 7872201 is about 198.9292864247.

Adding to 7872201 its reverse (1022787), we get a palindrome (8894988).

The spelling of 7872201 in words is "seven million, eight hundred seventy-two thousand, two hundred one".