73888020 has 36 divisors (see below), whose sum is σ = 224127540. Its totient is φ = 19703424.

The previous prime is 73888007. The next prime is 73888021. The reversal of 73888020 is 2088837.

It can be written as a sum of positive squares in 2 ways, for example, as 31741956 + 42146064 = 5634^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (73888021) 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, 205065 + ... + 205424.

It is an arithmetic number, because the mean of its divisors is an integer number (6225765).

Almost surely, 2^73888020 is an apocalyptic number.

It is an amenable number.

73888020 is an abundant number, since it is smaller than the sum of its proper divisors (150239520).

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

73888020 is a wasteful number, since it uses less digits than its factorization.

73888020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410504 (or 410499 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 73888020 is about 8595.8140975710. The cubic root of 73888020 is about 419.6217683286.

The spelling of 73888020 in words is "seventy-three million, eight hundred eighty-eight thousand, twenty".