72329364 has 54 divisors (see below), whose sum is σ = 189433790. Its totient is φ = 23268672.

The previous prime is 72329363. The next prime is 72329401. The reversal of 72329364 is 46392327.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5253264 + 67076100 = 2292^2 + 8190^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72329363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29082 + ... + 31470.

Almost surely, 2^72329364 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 72329364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94716895).

72329364 is an abundant number, since it is smaller than the sum of its proper divisors (117104426).

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

72329364 is a wasteful number, since it uses less digits than its factorization.

72329364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2423 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 72329364 is about 8504.6671892556. The cubic root of 72329364 is about 416.6501560035.

The spelling of 72329364 in words is "seventy-two million, three hundred twenty-nine thousand, three hundred sixty-four".