7161672 has 64 divisors (see below), whose sum is σ = 20920320. Its totient is φ = 2000448.

The previous prime is 7161667. The next prime is 7161673. The reversal of 7161672 is 2761617.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7161673) 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 15 ways as a sum of consecutive naturals, for example, 7443 + ... + 8349.

It is an arithmetic number, because the mean of its divisors is an integer number (326880).

Almost surely, 2^7161672 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 7161672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460160).

7161672 is an abundant number, since it is smaller than the sum of its proper divisors (13758648).

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

7161672 is a wasteful number, since it uses less digits than its factorization.

7161672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 7161672 is about 2676.1300416833. The cubic root of 7161672 is about 192.7546256635.

The spelling of 7161672 in words is "seven million, one hundred sixty-one thousand, six hundred seventy-two".