7356672 has 108 divisors (see below), whose sum is σ = 22107904. Its totient is φ = 2350080.

The previous prime is 7356647. The next prime is 7356689. The reversal of 7356672 is 2766537.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71373 + ... + 71475.

Almost surely, 2^7356672 is an apocalyptic number.

7356672 is a gapful number since it is divisible by the number (72) 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 7356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053952).

7356672 is an abundant number, since it is smaller than the sum of its proper divisors (14751232).

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

7356672 is a wasteful number, since it uses less digits than its factorization.

7356672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 7356672 is about 2712.3185653606. The cubic root of 7356672 is about 194.4884422039.

The spelling of 7356672 in words is "seven million, three hundred fifty-six thousand, six hundred seventy-two".