73046880 has 192 divisors, whose sum is σ = 263148480. Its totient is φ = 18911232.

The previous prime is 73046861. The next prime is 73046891. The reversal of 73046880 is 8864037.

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 159612 + ... + 160068.

It is an arithmetic number, because the mean of its divisors is an integer number (1370565).

Almost surely, 2^73046880 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 73046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131574240).

73046880 is an abundant number, since it is smaller than the sum of its proper divisors (190101600).

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

73046880 is a wasteful number, since it uses less digits than its factorization.

73046880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73046880 is about 8546.7467494948. The cubic root of 73046880 is about 418.0233650699.

The spelling of 73046880 in words is "seventy-three million, forty-six thousand, eight hundred eighty".