73689480 has 192 divisors, whose sum is σ = 257385600. Its totient is φ = 18748800.

The previous prime is 73689463. The next prime is 73689491. The reversal of 73689480 is 8498637.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1037845 + ... + 1037915.

It is an arithmetic number, because the mean of its divisors is an integer number (1340550).

Almost surely, 2^73689480 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 73689480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128692800).

73689480 is an abundant number, since it is smaller than the sum of its proper divisors (183696120).

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

73689480 is a wasteful number, since it uses less digits than its factorization.

73689480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 73689480 is about 8584.2576848555. The cubic root of 73689480 is about 419.2455844850.

The spelling of 73689480 in words is "seventy-three million, six hundred eighty-nine thousand, four hundred eighty".