72282924 has 72 divisors (see below), whose sum is σ = 209649440. Its totient is φ = 20570112.

The previous prime is 72282923. The next prime is 72282949. The reversal of 72282924 is 42928227.

It is a happy number.

It is a super-2 number, since 2×72282924² = 10449642203979552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72282923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93612 + ... + 94380.

Almost surely, 2^72282924 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 72282924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104824720).

72282924 is an abundant number, since it is smaller than the sum of its proper divisors (137366516).

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

72282924 is a wasteful number, since it uses less digits than its factorization.

72282924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1154 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72282924 is about 8501.9364852956. The cubic root of 72282924 is about 416.5609650452.

The spelling of 72282924 in words is "seventy-two million, two hundred eighty-two thousand, nine hundred twenty-four".