7396128 has 72 divisors (see below), whose sum is σ = 21428316. Its totient is φ = 2419200.

The previous prime is 7396127. The next prime is 7396171. The reversal of 7396128 is 8216937.

7396128 is a `hidden beast` number, since 7 + 39 + 612 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 2782224 = 2148^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 7396092 and 7396101.

It is not an unprimeable number, because it can be changed into a prime (7396127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17358 + ... + 17778.

Almost surely, 2^7396128 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 7396128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714158).

7396128 is an abundant number, since it is smaller than the sum of its proper divisors (14032188).

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

7396128 is a wasteful number, since it uses less digits than its factorization.

7396128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7396128 is about 2719.5823208721. The cubic root of 7396128 is about 194.8355220552.

The spelling of 7396128 in words is "seven million, three hundred ninety-six thousand, one hundred twenty-eight".