72193080 has 64 divisors (see below), whose sum is σ = 217245600. Its totient is φ = 19192320.

The previous prime is 72192979. The next prime is 72193097. The reversal of 72193080 is 8039127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49806 + ... + 51234.

Almost surely, 2^72193080 is an apocalyptic number.

It is an amenable number.

72193080 is an abundant number, since it is smaller than the sum of its proper divisors (145052520).

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

72193080 is a wasteful number, since it uses less digits than its factorization.

72193080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 72193080 is about 8496.6511049942. The cubic root of 72193080 is about 416.3883054553.

The spelling of 72193080 in words is "seventy-two million, one hundred ninety-three thousand, eighty".