7401312 has 72 divisors (see below), whose sum is σ = 21752640. Its totient is φ = 2384640.

The previous prime is 7401311. The next prime is 7401319. The reversal of 7401312 is 2131047.

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 (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7401311) 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, 8514 + ... + 9342.

It is an arithmetic number, because the mean of its divisors is an integer number (302120).

Almost surely, 2^7401312 is an apocalyptic number.

7401312 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 7401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876320).

7401312 is an abundant number, since it is smaller than the sum of its proper divisors (14351328).

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

7401312 is a wasteful number, since it uses less digits than its factorization.

7401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7401312 is about 2720.5352414553. The cubic root of 7401312 is about 194.8810319698.

Adding to 7401312 its reverse (2131047), we get a palindrome (9532359).

The spelling of 7401312 in words is "seven million, four hundred one thousand, three hundred twelve".