73274880 has 320 divisors, whose sum is σ = 282839040. Its totient is φ = 15826944.

The previous prime is 73274863. The next prime is 73274891. The reversal of 73274880 is 8847237.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559017 + ... + 1559063.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^73274880 is an apocalyptic number.

73274880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

73274880 is an abundant number, since it is smaller than the sum of its proper divisors (209564160).

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

73274880 is a wasteful number, since it uses less digits than its factorization.

73274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 73274880 is about 8560.0747660286. The cubic root of 73274880 is about 418.4578364503.

The spelling of 73274880 in words is "seventy-three million, two hundred seventy-four thousand, eight hundred eighty".