73526688 has 72 divisors (see below), whose sum is σ = 213080868. Its totient is φ = 24041472.

The previous prime is 73526681. The next prime is 73526693. The reversal of 73526688 is 88662537.

It can be written as a sum of positive squares in 2 ways, for example, as 72386064 + 1140624 = 8508^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (73526681) 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, 12856 + ... + 17672.

Almost surely, 2^73526688 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 73526688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106540434).

73526688 is an abundant number, since it is smaller than the sum of its proper divisors (139554180).

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

73526688 is a wasteful number, since it uses less digits than its factorization.

73526688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4875 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 73526688 is about 8574.7704342449. The cubic root of 73526688 is about 418.9366297230.

The spelling of 73526688 in words is "seventy-three million, five hundred twenty-six thousand, six hundred eighty-eight".