7872536 has 64 divisors (see below), whose sum is σ = 18240000. Its totient is φ = 3175200.

The previous prime is 7872521. The next prime is 7872541. The reversal of 7872536 is 6352787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 7872536 = 70³ + 196³ = 118³ + 184³.

It is a self number, because there is not a number n which added to its sum of digits gives 7872536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52061 + ... + 52211.

It is an arithmetic number, because the mean of its divisors is an integer number (285000).

Almost surely, 2^7872536 is an apocalyptic number.

7872536 is a gapful number since it is divisible by the number (76) 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 7872536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120000).

7872536 is an abundant number, since it is smaller than the sum of its proper divisors (10367464).

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

7872536 is a wasteful number, since it uses less digits than its factorization.

7872536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 7872536 is about 2805.8039846005. The cubic root of 7872536 is about 198.9321081838.

The spelling of 7872536 in words is "seven million, eight hundred seventy-two thousand, five hundred thirty-six".