72303616 has 132 divisors (see below), whose sum is σ = 184819536. Its totient is φ = 27955200.

The previous prime is 72303611. The next prime is 72303629. The reversal of 72303616 is 61630327.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is not an unprimeable number, because it can be changed into a prime (72303611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551871 + ... + 552001.

It is an arithmetic number, because the mean of its divisors is an integer number (1400148).

Almost surely, 2^72303616 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 72303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92409768).

72303616 is an abundant number, since it is smaller than the sum of its proper divisors (112515920).

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

72303616 is a wasteful number, since it uses less digits than its factorization.

72303616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 72303616 is about 8503.1532974538. The cubic root of 72303616 is about 416.6007100577.

Subtracting from 72303616 its reverse (61630327), we obtain a square (10673289 = 3267²).

The spelling of 72303616 in words is "seventy-two million, three hundred three thousand, six hundred sixteen".