172727772 has 48 divisors (see below), whose sum is σ = 462723072. Its totient is φ = 49124160.

The previous prime is 172727767. The next prime is 172727777. The reversal of 172727772 is 277727271.

It is an interprime number because it is at equal distance from previous prime (172727767) and next prime (172727777).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172727777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14122 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (9640064).

Almost surely, 2^172727772 is an apocalyptic number.

172727772 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 172727772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231361536).

172727772 is an abundant number, since it is smaller than the sum of its proper divisors (289995300).

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

172727772 is a wasteful number, since it uses less digits than its factorization.

172727772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9458 (or 9456 counting only the distinct ones).

The product of its digits is 134456, while the sum is 42.

The square root of 172727772 is about 13142.5938079209. The cubic root of 172727772 is about 556.9130444318.

The spelling of 172727772 in words is "one hundred seventy-two million, seven hundred twenty-seven thousand, seven hundred seventy-two".