72888192 has 192 divisors, whose sum is σ = 234648960. Its totient is φ = 21565440.

The previous prime is 72888149. The next prime is 72888209. The reversal of 72888192 is 29188827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464178 + ... + 464334.

It is an arithmetic number, because the mean of its divisors is an integer number (1222130).

Almost surely, 2^72888192 is an apocalyptic number.

72888192 is a gapful number since it is divisible by the number (72) 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 72888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117324480).

72888192 is an abundant number, since it is smaller than the sum of its proper divisors (161760768).

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

72888192 is a wasteful number, since it uses less digits than its factorization.

72888192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 72888192 is about 8537.4581697365. The cubic root of 72888192 is about 417.7204391238.

The spelling of 72888192 in words is "seventy-two million, eight hundred eighty-eight thousand, one hundred ninety-two".