7667072 has 64 divisors (see below), whose sum is σ = 17952000. Its totient is φ = 3193344.

The previous prime is 7667069. The next prime is 7667111. The reversal of 7667072 is 2707667.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38429 + ... + 38627.

It is an arithmetic number, because the mean of its divisors is an integer number (280500).

Almost surely, 2^7667072 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 7667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976000).

7667072 is an abundant number, since it is smaller than the sum of its proper divisors (10284928).

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

7667072 is a wasteful number, since it uses less digits than its factorization.

7667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 7667072 is about 2768.9478146040. The cubic root of 7667072 is about 197.1861982504.

The spelling of 7667072 in words is "seven million, six hundred sixty-seven thousand, seventy-two".