73959480 has 192 divisors, whose sum is σ = 285143040. Its totient is φ = 16889472.

The previous prime is 73959463. The next prime is 73959547. The reversal of 73959480 is 8495937.

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, 67497 + ... + 68583.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 2^73959480 is an apocalyptic number.

73959480 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 73959480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

73959480 is an abundant number, since it is smaller than the sum of its proper divisors (211183560).

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

73959480 is a wasteful number, since it uses less digits than its factorization.

73959480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 73959480 is about 8599.9697673887. The cubic root of 73959480 is about 419.7570022941.

The spelling of 73959480 in words is "seventy-three million, nine hundred fifty-nine thousand, four hundred eighty".