165725952 has 144 divisors (see below), whose sum is σ = 521955840. Its totient is φ = 45674496.

The previous prime is 165725933. The next prime is 165725993. The reversal of 165725952 is 259527561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155373 + ... + 156435.

Almost surely, 2^165725952 is an apocalyptic number.

165725952 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 165725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260977920).

165725952 is an abundant number, since it is smaller than the sum of its proper divisors (356229888).

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

165725952 is a wasteful number, since it uses less digits than its factorization.

165725952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its digits is 189000, while the sum is 42.

The square root of 165725952 is about 12873.4592087752. The cubic root of 165725952 is about 549.2838635398.

The spelling of 165725952 in words is "one hundred sixty-five million, seven hundred twenty-five thousand, nine hundred fifty-two".