72265284 has 288 divisors, whose sum is σ = 251130880. Its totient is φ = 17635968.

The previous prime is 72265279. The next prime is 72265357. The reversal of 72265284 is 48256227.

72265284 is nontrivially palindromic in base 16.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680567 + ... + 1680609.

Almost surely, 2^72265284 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 72265284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125565440).

72265284 is an abundant number, since it is smaller than the sum of its proper divisors (178865596).

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

72265284 is a wasteful number, since it uses less digits than its factorization.

72265284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 72265284 is about 8500.8990112811. The cubic root of 72265284 is about 416.5270762979.

It can be divided in two parts, 72 and 265284, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 72265284 in words is "seventy-two million, two hundred sixty-five thousand, two hundred eighty-four".