161505072 has 60 divisors (see below), whose sum is σ = 457743520. Its totient is φ = 53149824.

The previous prime is 161505067. The next prime is 161505079. The reversal of 161505072 is 270505161.

161505072 is a `hidden beast` number, since 1 + 6 + 150 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (161505079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4278 + ... + 18474.

Almost surely, 2^161505072 is an apocalyptic number.

161505072 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 161505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228871760).

161505072 is an abundant number, since it is smaller than the sum of its proper divisors (296238448).

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

161505072 is a wasteful number, since it uses less digits than its factorization.

161505072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14290 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 161505072 is about 12708.4645807430. The cubic root of 161505072 is about 544.5804610079.

The spelling of 161505072 in words is "one hundred sixty-one million, five hundred five thousand, seventy-two".