73623480 has 192 divisors, whose sum is σ = 270864000. Its totient is φ = 15918336.

The previous prime is 73623467. The next prime is 73623527. The reversal of 73623480 is 8432637.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111391 + ... + 112049.

It is an arithmetic number, because the mean of its divisors is an integer number (1410750).

Almost surely, 2^73623480 is an apocalyptic number.

73623480 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 73623480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135432000).

73623480 is an abundant number, since it is smaller than the sum of its proper divisors (197240520).

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

73623480 is a wasteful number, since it uses less digits than its factorization.

73623480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 73623480 is about 8580.4125774930. The cubic root of 73623480 is about 419.1203812962.

The spelling of 73623480 in words is "seventy-three million, six hundred twenty-three thousand, four hundred eighty".