161748972 has 288 divisors, whose sum is σ = 553512960. Its totient is φ = 38586240.

The previous prime is 161748971. The next prime is 161748997. The reversal of 161748972 is 279847161.

It is a happy number.

161748972 is a `hidden beast` number, since 161 + 7 + 489 + 7 + 2 = 666.

161748972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) 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 (161748971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2741479 + ... + 2741537.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2^161748972 is an apocalyptic number.

161748972 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 161748972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

161748972 is an abundant number, since it is smaller than the sum of its proper divisors (391763988).

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

161748972 is a wasteful number, since it uses less digits than its factorization.

161748972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 161748972 is about 12718.0569270624. The cubic root of 161748972 is about 544.8544593557.

The spelling of 161748972 in words is "one hundred sixty-one million, seven hundred forty-eight thousand, nine hundred seventy-two".