72896512 has 78 divisors (see below), whose sum is σ = 161346318. Its totient is φ = 32735232.

The previous prime is 72896489. The next prime is 72896533. The reversal of 72896512 is 21569827.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 46022656 = 5184^2 + 6784^2 .

It is a super-2 number, since 2×72896512² = 10627802923532288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1970158 + ... + 1970194.

Almost surely, 2^72896512 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 72896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80673159).

72896512 is an abundant number, since it is smaller than the sum of its proper divisors (88449806).

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

72896512 is an equidigital number, since it uses as much as digits as its factorization.

72896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 52 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 72896512 is about 8537.9454202987. The cubic root of 72896512 is about 417.7363324243.

The spelling of 72896512 in words is "seventy-two million, eight hundred ninety-six thousand, five hundred twelve".