72565416 has 128 divisors (see below), whose sum is σ = 251366400. Its totient is φ = 18843840.

The previous prime is 72565397. The next prime is 72565429. The reversal of 72565416 is 61456527.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14451 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (1963800).

Almost surely, 2^72565416 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 72565416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125683200).

72565416 is an abundant number, since it is smaller than the sum of its proper divisors (178800984).

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

72565416 is a wasteful number, since it uses less digits than its factorization.

72565416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4386 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 72565416 is about 8518.5336766371. The cubic root of 72565416 is about 417.1029195785.

Subtracting from 72565416 its reverse (61456527), we obtain a square (11108889 = 3333²).

The spelling of 72565416 in words is "seventy-two million, five hundred sixty-five thousand, four hundred sixteen".