7642712 has 64 divisors (see below), whose sum is σ = 18835200. Its totient is φ = 2816640.

The previous prime is 7642711. The next prime is 7642729. The reversal of 7642712 is 2172467.

It is a super-2 number, since 2×7642712² = 116822093429888, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11378 + ... + 12030.

It is an arithmetic number, because the mean of its divisors is an integer number (294300).

Almost surely, 2^7642712 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 7642712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417600).

7642712 is an abundant number, since it is smaller than the sum of its proper divisors (11192488).

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

7642712 is a wasteful number, since it uses less digits than its factorization.

7642712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 7642712 is about 2764.5455322711. The cubic root of 7642712 is about 196.9771418246.

The spelling of 7642712 in words is "seven million, six hundred forty-two thousand, seven hundred twelve".