72228576 has 96 divisors (see below), whose sum is σ = 228130560. Its totient is φ = 19547136.

The previous prime is 72228547. The next prime is 72228587. The reversal of 72228576 is 67582227.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×72228576³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9940 + ... + 15596.

It is an arithmetic number, because the mean of its divisors is an integer number (2376360).

Almost surely, 2^72228576 is an apocalyptic number.

72228576 is a gapful number since it is divisible by the number (76) 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 72228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114065280).

72228576 is an abundant number, since it is smaller than the sum of its proper divisors (155901984).

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

72228576 is a wasteful number, since it uses less digits than its factorization.

72228576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5688 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 72228576 is about 8498.7396712689. The cubic root of 72228576 is about 416.4565377456.

The spelling of 72228576 in words is "seventy-two million, two hundred twenty-eight thousand, five hundred seventy-six".