172282080 has 192 divisors, whose sum is σ = 589171968. Its totient is φ = 42147840.

The previous prime is 172282079. The next prime is 172282081. The reversal of 172282080 is 80282271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (172282079) and next prime (172282081).

It is a super-2 number, since 2×172282080² = 59362230178252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172282081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350635 + ... + 351125.

It is an arithmetic number, because the mean of its divisors is an integer number (3068604).

Almost surely, 2^172282080 is an apocalyptic number.

172282080 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 172282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294585984).

172282080 is an abundant number, since it is smaller than the sum of its proper divisors (416889888).

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

172282080 is a wasteful number, since it uses less digits than its factorization.

172282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 172282080 is about 13125.6268421741. The cubic root of 172282080 is about 556.4336282183.

The spelling of 172282080 in words is "one hundred seventy-two million, two hundred eighty-two thousand, eighty".