172908540 has 192 divisors, whose sum is σ = 620928000. Its totient is φ = 39128832.

The previous prime is 172908539. The next prime is 172908557. The reversal of 172908540 is 45809271.

172908540 = 158² + 159² + ... + 805².

It is a super-3 number, since 3×172908540³ (a number of 26 digits) contains 333 as substring.

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 = 172908495 and 172908504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563067 + ... + 563373.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 2^172908540 is an apocalyptic number.

172908540 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 172908540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464000).

172908540 is an abundant number, since it is smaller than the sum of its proper divisors (448019460).

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

172908540 is a wasteful number, since it uses less digits than its factorization.

172908540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 172908540 is about 13149.4691908077. The cubic root of 172908540 is about 557.1072555442.

The spelling of 172908540 in words is "one hundred seventy-two million, nine hundred eight thousand, five hundred forty".