172672740 has 144 divisors (see below), whose sum is σ = 562908528. Its totient is φ = 42688512.

The previous prime is 172672693. The next prime is 172672769. The reversal of 172672740 is 47276271.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4088484 + 168584256 = 2022^2 + 12984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172672695 and 172672704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222994 + ... + 223766.

It is an arithmetic number, because the mean of its divisors is an integer number (3909087).

Almost surely, 2^172672740 is an apocalyptic number.

172672740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 13140×13141.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172672740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281454264).

172672740 is an abundant number, since it is smaller than the sum of its proper divisors (390235788).

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

172672740 is a wasteful number, since it uses less digits than its factorization.

172672740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 172672740 is about 13140.4999904874. The cubic root of 172672740 is about 556.8538929826.

The spelling of 172672740 in words is "one hundred seventy-two million, six hundred seventy-two thousand, seven hundred forty".