73652880 has 120 divisors (see below), whose sum is σ = 265643712. Its totient is φ = 16832256.

The previous prime is 73652879. The next prime is 73652897. The reversal of 73652880 is 8825637.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8629 + ... + 14891.

Almost surely, 2^73652880 is an apocalyptic number.

73652880 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 73652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132821856).

73652880 is an abundant number, since it is smaller than the sum of its proper divisors (191990832).

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

73652880 is a wasteful number, since it uses less digits than its factorization.

73652880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 73652880 is about 8582.1256108263. The cubic root of 73652880 is about 419.1761628638.

The spelling of 73652880 in words is "seventy-three million, six hundred fifty-two thousand, eight hundred eighty".