165672480 has 192 divisors, whose sum is σ = 561738240. Its totient is φ = 40894464.

The previous prime is 165672461. The next prime is 165672503. The reversal of 165672480 is 84276561.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644512 + ... + 644768.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2^165672480 is an apocalyptic number.

165672480 is a gapful number since it is divisible by the number (10) 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 165672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280869120).

165672480 is an abundant number, since it is smaller than the sum of its proper divisors (396065760).

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

165672480 is a wasteful number, since it uses less digits than its factorization.

165672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 165672480 is about 12871.3822101591. The cubic root of 165672480 is about 549.2247811292.

The spelling of 165672480 in words is "one hundred sixty-five million, six hundred seventy-two thousand, four hundred eighty".