7672938 has 96 divisors (see below), whose sum is σ = 20238336. Its totient is φ = 1894464.

The previous prime is 7672937. The next prime is 7672943. The reversal of 7672938 is 8392767.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (127008) is a multiple of the sum of its prime factors (108).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7672938.

It is not an unprimeable number, because it can be changed into a prime (7672937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163231 + ... + 163277.

It is an arithmetic number, because the mean of its divisors is an integer number (210816).

Almost surely, 2^7672938 is an apocalyptic number.

7672938 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7672938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119168).

7672938 is an abundant number, since it is smaller than the sum of its proper divisors (12565398).

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

7672938 is a wasteful number, since it uses less digits than its factorization.

7672938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 7672938 is about 2770.0068591973. The cubic root of 7672938 is about 197.2364738259.

It can be divided in two parts, 76729 and 38, that added together give a palindrome (76767).

The spelling of 7672938 in words is "seven million, six hundred seventy-two thousand, nine hundred thirty-eight".