172223040 has 224 divisors, whose sum is σ = 610965504. Its totient is φ = 40744960.

The previous prime is 172223033. The next prime is 172223047. The reversal of 172223040 is 40322271.

It is an interprime number because it is at equal distance from previous prime (172223033) and next prime (172223047).

It is a junction number, because it is equal to n+sod(n) for n = 172222998 and 172223016.

It is not an unprimeable number, because it can be changed into a prime (172223047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496147 + ... + 496493.

Almost surely, 2^172223040 is an apocalyptic number.

172223040 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 172223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305482752).

172223040 is an abundant number, since it is smaller than the sum of its proper divisors (438742464).

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

172223040 is a wasteful number, since it uses less digits than its factorization.

172223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 172223040 is about 13123.3776140139. The cubic root of 172223040 is about 556.3700588387.

The spelling of 172223040 in words is "one hundred seventy-two million, two hundred twenty-three thousand, forty".