7428672 has 70 divisors (see below), whose sum is σ = 22036278. Its totient is φ = 2474496.

The previous prime is 7428671. The next prime is 7428683. The reversal of 7428672 is 2768247.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 331776 = 2664^2 + 576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7428671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4468 + ... + 5900.

Almost surely, 2^7428672 is an apocalyptic number.

7428672 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 7428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018139).

7428672 is an abundant number, since it is smaller than the sum of its proper divisors (14607606).

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

7428672 is a wasteful number, since it uses less digits than its factorization.

7428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1438 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7428672 is about 2725.5590252277. The cubic root of 7428672 is about 195.1208718070.

It can be divided in two parts, 7428 and 672, that added together give a square (8100 = 90²).

The spelling of 7428672 in words is "seven million, four hundred twenty-eight thousand, six hundred seventy-two".