172772640 has 72 divisors (see below), whose sum is σ = 589591548. Its totient is φ = 46072320.

The previous prime is 172772627. The next prime is 172772653. The reversal of 172772640 is 46277271.

It is a happy number.

172772640 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (172772627) and next prime (172772653).

It can be written as a sum of positive squares in 2 ways, for example, as 146023056 + 26749584 = 12084^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 172772595 and 172772604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58551 + ... + 61430.

Almost surely, 2^172772640 is an apocalyptic number.

172772640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172772640 is an abundant number, since it is smaller than the sum of its proper divisors (416818908).

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

172772640 is a wasteful number, since it uses less digits than its factorization.

172772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120002 (or 119991 counting only the distinct ones).

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

The square root of 172772640 is about 13144.3006660682. The cubic root of 172772640 is about 556.9612617526.

The spelling of 172772640 in words is "one hundred seventy-two million, seven hundred seventy-two thousand, six hundred forty".