73433880 has 288 divisors, whose sum is σ = 277486560. Its totient is φ = 16773120.

The previous prime is 73433849. The next prime is 73433891. The reversal of 73433880 is 8833437.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034245 + ... + 1034315.

It is an arithmetic number, because the mean of its divisors is an integer number (963495).

Almost surely, 2^73433880 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 73433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138743280).

73433880 is an abundant number, since it is smaller than the sum of its proper divisors (204052680).

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

73433880 is a wasteful number, since it uses less digits than its factorization.

73433880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 73433880 is about 8569.3570353907. The cubic root of 73433880 is about 418.7602899380.

The spelling of 73433880 in words is "seventy-three million, four hundred thirty-three thousand, eight hundred eighty".