72114064 has 45 divisors (see below), whose sum is σ = 154377489. Its totient is φ = 32609280.

The previous prime is 72114047. The next prime is 72114067. The reversal of 72114064 is 46041127.

The square root of 72114064 is 8492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17472400 + 54641664 = 4180^2 + 7392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72114067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 373552 + ... + 373744.

Almost surely, 2^72114064 is an apocalyptic number.

72114064 is the 8492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72114064

72114064 is an abundant number, since it is smaller than the sum of its proper divisors (82263425).

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

72114064 is a wasteful number, since it uses less digits than its factorization.

72114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 72114064 is about 416.2363363688.

Multiplying 72114064 by its sum of digits (25), we get a square (1802851600 = 42460²).

The spelling of 72114064 in words is "seventy-two million, one hundred fourteen thousand, sixty-four".