73724560 has 240 divisors, whose sum is σ = 228735360. Its totient is φ = 21565440.

The previous prime is 73724557. The next prime is 73724633. The reversal of 73724560 is 6542737.

73724560 = T₂₀₇ + T₂₀₈ + ... + T₇₆₆.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798140 + ... + 1798180.

It is an arithmetic number, because the mean of its divisors is an integer number (953064).

Almost surely, 2^73724560 is an apocalyptic number.

73724560 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 73724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367680).

73724560 is an abundant number, since it is smaller than the sum of its proper divisors (155010800).

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

73724560 is a wasteful number, since it uses less digits than its factorization.

73724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 73724560 is about 8586.3007168396. The cubic root of 73724560 is about 419.3121014512.

The spelling of 73724560 in words is "seventy-three million, seven hundred twenty-four thousand, five hundred sixty".