72268416 has 128 divisors (see below), whose sum is σ = 232804800. Its totient is φ = 21888000.

The previous prime is 72268387. The next prime is 72268421. The reversal of 72268416 is 61486227.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×72268416² = 10445447902298112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37066 + ... + 38966.

Almost surely, 2^72268416 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 72268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116402400).

72268416 is an abundant number, since it is smaller than the sum of its proper divisors (160536384).

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

72268416 is a wasteful number, since it uses less digits than its factorization.

72268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1917 counting only the distinct ones).

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

The square root of 72268416 is about 8501.0832250955. The cubic root of 72268416 is about 416.5330936822.

The spelling of 72268416 in words is "seventy-two million, two hundred sixty-eight thousand, four hundred sixteen".