7401536 has 28 divisors (see below), whose sum is σ = 14836140. Its totient is φ = 3663360.

The previous prime is 7401533. The next prime is 7401539. The reversal of 7401536 is 6351047.

It is an interprime number because it is at equal distance from previous prime (7401533) and next prime (7401539).

It can be written as a sum of positive squares in 2 ways, for example, as 5017600 + 2383936 = 2240^2 + 1544^2 .

It is not an unprimeable number, because it can be changed into a prime (7401533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6446 + ... + 7506.

Almost surely, 2^7401536 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 7401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418070).

7401536 is an abundant number, since it is smaller than the sum of its proper divisors (7434604).

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

7401536 is a wasteful number, since it uses less digits than its factorization.

7401536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 7401536 is about 2720.5764095132. The cubic root of 7401536 is about 194.8829979685.

The spelling of 7401536 in words is "seven million, four hundred one thousand, five hundred thirty-six".