72235416 has 64 divisors (see below), whose sum is σ = 207388800. Its totient is φ = 20736000.

The previous prime is 72235409. The next prime is 72235417. The reversal of 72235416 is 61453227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72235417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 12216.

It is an arithmetic number, because the mean of its divisors is an integer number (3240450).

Almost surely, 2^72235416 is an apocalyptic number.

72235416 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 72235416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103694400).

72235416 is an abundant number, since it is smaller than the sum of its proper divisors (135153384).

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

72235416 is a wasteful number, since it uses less digits than its factorization.

72235416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14440 (or 14436 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 72235416 is about 8499.1420743508. The cubic root of 72235416 is about 416.4696833867.

The spelling of 72235416 in words is "seventy-two million, two hundred thirty-five thousand, four hundred sixteen".