7468672 has 64 divisors (see below), whose sum is σ = 16279200. Its totient is φ = 3400704.

The previous prime is 7468667. The next prime is 7468679. The reversal of 7468672 is 2768647.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7468672² = 111562122887168, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7⁵ + 4⁶ + 6⁴ + 8 + 6⁸ + 7⁸ + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (7468679) 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 7 ways as a sum of consecutive naturals, for example, 89943 + ... + 90025.

Almost surely, 2^7468672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139600).

7468672 is an abundant number, since it is smaller than the sum of its proper divisors (8810528).

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

7468672 is a wasteful number, since it uses less digits than its factorization.

7468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 7468672 is about 2732.8871180493. The cubic root of 7468672 is about 195.4704573112.

The spelling of 7468672 in words is "seven million, four hundred sixty-eight thousand, six hundred seventy-two".