72087680 has 64 divisors (see below), whose sum is σ = 196966080. Its totient is φ = 24714240.

The previous prime is 72087677. The next prime is 72087683. The reversal of 72087680 is 8678027.

It is an interprime number because it is at equal distance from previous prime (72087677) and next prime (72087683).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72087683) 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 7 ways as a sum of consecutive naturals, for example, 3566 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (3077595).

Almost surely, 2^72087680 is an apocalyptic number.

72087680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72087680 is an abundant number, since it is smaller than the sum of its proper divisors (124878400).

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

72087680 is a wasteful number, since it uses less digits than its factorization.

72087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117 (or 16105 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 72087680 is about 8490.4463958028. The cubic root of 72087680 is about 416.1855680976.

The spelling of 72087680 in words is "seventy-two million, eighty-seven thousand, six hundred eighty".