172815552 has 336 divisors, whose sum is σ = 640506720. Its totient is φ = 45287424.

The previous prime is 172815527. The next prime is 172815589. The reversal of 172815552 is 255518271.

It is a tau number, because it is divible by the number of its divisors (336).

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

172815552 is a modest number, since divided by 15552 gives 1728 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100658 + ... + 1100814.

It is an arithmetic number, because the mean of its divisors is an integer number (1906270).

Almost surely, 2^172815552 is an apocalyptic number.

172815552 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 172815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320253360).

172815552 is an abundant number, since it is smaller than the sum of its proper divisors (467691168).

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

172815552 is a wasteful number, since it uses less digits than its factorization.

172815552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its digits is 28000, while the sum is 36.

The square root of 172815552 is about 13145.9329071770. The cubic root of 172815552 is about 557.0073692521.

It can be divided in two parts, 1728 and 15552, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 172815552 in words is "one hundred seventy-two million, eight hundred fifteen thousand, five hundred fifty-two".