72646224 has 120 divisors (see below), whose sum is σ = 222048288. Its totient is φ = 20401920.

The previous prime is 72646153. The next prime is 72646229. The reversal of 72646224 is 42264627.

It is a super-2 number, since 2×72646224² = 10554947722916352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72646229) 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, 157354 + ... + 157814.

Almost surely, 2^72646224 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 72646224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111024144).

72646224 is an abundant number, since it is smaller than the sum of its proper divisors (149402064).

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

72646224 is a wasteful number, since it uses less digits than its factorization.

72646224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 72646224 is about 8523.2754267359. The cubic root of 72646224 is about 417.2576891233.

The spelling of 72646224 in words is "seventy-two million, six hundred forty-six thousand, two hundred twenty-four".