72185088 has 72 divisors (see below), whose sum is σ = 193509568. Its totient is φ = 23887872.

The previous prime is 72185083. The next prime is 72185137. The reversal of 72185088 is 88058127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72185083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147981 + ... + 148467.

Almost surely, 2^72185088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96754784).

72185088 is an abundant number, since it is smaller than the sum of its proper divisors (121324480).

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

72185088 is a wasteful number, since it uses less digits than its factorization.

72185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 72185088 is about 8496.1807890369. The cubic root of 72185088 is about 416.3729397252.

It can be divided in two parts, 7 and 2185088, that added together give a triangular number (2185095 = T₂₀₉₀).

The spelling of 72185088 in words is "seventy-two million, one hundred eighty-five thousand, eighty-eight".