161976672 has 480 divisors, whose sum is σ = 614718720. Its totient is φ = 41057280.

The previous prime is 161976583. The next prime is 161976677. The reversal of 161976672 is 276679161.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161976677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7042453 + ... + 7042475.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 2^161976672 is an apocalyptic number.

161976672 is a gapful number since it is divisible by the number (12) 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 161976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360).

161976672 is an abundant number, since it is smaller than the sum of its proper divisors (452742048).

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

161976672 is a wasteful number, since it uses less digits than its factorization.

161976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 161976672 is about 12727.0056179763. The cubic root of 161976672 is about 545.1100100570.

The spelling of 161976672 in words is "one hundred sixty-one million, nine hundred seventy-six thousand, six hundred seventy-two".