72072288 has 48 divisors (see below), whose sum is σ = 210213360. Its totient is φ = 24023808.

The previous prime is 72072281. The next prime is 72072307. The reversal of 72072288 is 88227027.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72072281) 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, 40845 + ... + 42572.

It is an arithmetic number, because the mean of its divisors is an integer number (4379445).

Almost surely, 2^72072288 is an apocalyptic number.

It is an amenable number.

72072288 is an abundant number, since it is smaller than the sum of its proper divisors (138141072).

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

72072288 is a wasteful number, since it uses less digits than its factorization.

72072288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83436 (or 83422 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72072288 is about 8489.5399168624. The cubic root of 72072288 is about 416.1559449856.

The spelling of 72072288 in words is "seventy-two million, seventy-two thousand, two hundred eighty-eight".