73123680 has 144 divisors (see below), whose sum is σ = 268032240. Its totient is φ = 16708608.

The previous prime is 73123669. The next prime is 73123709. The reversal of 73123680 is 8632137.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21966 + ... + 25074.

It is an arithmetic number, because the mean of its divisors is an integer number (1861335).

Almost surely, 2^73123680 is an apocalyptic number.

73123680 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 73123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134016120).

73123680 is an abundant number, since it is smaller than the sum of its proper divisors (194908560).

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

73123680 is a wasteful number, since it uses less digits than its factorization.

73123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73123680 is about 8551.2385067895. The cubic root of 73123680 is about 418.1698141711.

It can be divided in two parts, 73 and 123680, that added together give a triangular number (123753 = T₄₉₇).

The spelling of 73123680 in words is "seventy-three million, one hundred twenty-three thousand, six hundred eighty".