72894528 has 168 divisors, whose sum is σ = 242498880. Its totient is φ = 20505600.

The previous prime is 72894527. The next prime is 72894529. The reversal of 72894528 is 82549827.

It is an interprime number because it is at equal distance from previous prime (72894527) and next prime (72894529).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×72894528² = 10627224424685568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72894527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407143 + ... + 407321.

Almost surely, 2^72894528 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 72894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

72894528 is an abundant number, since it is smaller than the sum of its proper divisors (169604352).

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

72894528 is a wasteful number, since it uses less digits than its factorization.

72894528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72894528 is about 8537.8292323049. The cubic root of 72894528 is about 417.7325425932.

The spelling of 72894528 in words is "seventy-two million, eight hundred ninety-four thousand, five hundred twenty-eight".