72088944 has 40 divisors (see below), whose sum is σ = 187190400. Its totient is φ = 23905728.

The previous prime is 72088943. The next prime is 72088949. The reversal of 72088944 is 44988027.

It is a junction number, because it is equal to n+sod(n) for n = 72088896 and 72088905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72088943) 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, 5779 + ... + 13325.

It is an arithmetic number, because the mean of its divisors is an integer number (4679760).

Almost surely, 2^72088944 is an apocalyptic number.

It is an amenable number.

72088944 is an abundant number, since it is smaller than the sum of its proper divisors (115101456).

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

72088944 is a wasteful number, since it uses less digits than its factorization.

72088944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 72088944 is about 8490.5208320809. The cubic root of 72088944 is about 416.1880005774.

The spelling of 72088944 in words is "seventy-two million, eighty-eight thousand, nine hundred forty-four".