7613672 has 32 divisors (see below), whose sum is σ = 15681600. Its totient is φ = 3436800.

The previous prime is 7613653. The next prime is 7613677. The reversal of 7613672 is 2763167.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7613677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21029 + ... + 21387.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^7613672 is an apocalyptic number.

It is an amenable number.

7613672 is an abundant number, since it is smaller than the sum of its proper divisors (8067928).

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

7613672 is a wasteful number, since it uses less digits than its factorization.

7613672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its digits is 10584, while the sum is 32.

The square root of 7613672 is about 2759.2883140404. The cubic root of 7613672 is about 196.7273405951.

The spelling of 7613672 in words is "seven million, six hundred thirteen thousand, six hundred seventy-two".