172632240 has 240 divisors, whose sum is σ = 643458816. Its totient is φ = 41126400.

The previous prime is 172632221. The next prime is 172632241. The reversal of 172632240 is 42236271.

172632240 = T₂₃₅ + T₂₃₆ + ... + T₁₀₁₅.

172632240 is a `hidden beast` number, since 1 + 7 + 2 + 632 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (172632241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562167 + ... + 562473.

Almost surely, 2^172632240 is an apocalyptic number.

172632240 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 172632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

172632240 is an abundant number, since it is smaller than the sum of its proper divisors (470826576).

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

172632240 is a wasteful number, since it uses less digits than its factorization.

172632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 172632240 is about 13138.9588628628. The cubic root of 172632240 is about 556.8103533053.

It can be divided in two parts, 17263 and 2240, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 172632240 in words is "one hundred seventy-two million, six hundred thirty-two thousand, two hundred forty".