87172182720 has 224 divisors, whose sum is σ = 351456345600. Its totient is φ = 19925056512.

The previous prime is 87172182707. The next prime is 87172182731. The reversal of 87172182720 is 2728127178.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660190 + ... + 781149.

Almost surely, 2^87172182720 is an apocalyptic number.

87172182720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87172182720 is an abundant number, since it is smaller than the sum of its proper divisors (264284162880).

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

87172182720 is a wasteful number, since it uses less digits than its factorization.

87172182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441372 (or 1441356 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 87172182720 in words is "eighty-seven billion, one hundred seventy-two million, one hundred eighty-two thousand, seven hundred twenty".