73410624 has 315 divisors, whose sum is σ = 268907133. Its totient is φ = 19740672.

The previous prime is 73410593. The next prime is 73410677. The reversal of 73410624 is 42601437.

The square root of 73410624 is 8568.

It is a perfect power (a square), and thus also a powerful number.

73410624 is a `hidden beast` number, since 7 + 34 + 1 + 0 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 16257024 = 7560^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4318264 + ... + 4318280.

Almost surely, 2^73410624 is an apocalyptic number.

73410624 is the 8568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73410624

73410624 is an abundant number, since it is smaller than the sum of its proper divisors (195496509).

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

73410624 is a wasteful number, since it uses less digits than its factorization.

73410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 73410624 is about 418.7160791117.

The spelling of 73410624 in words is "seventy-three million, four hundred ten thousand, six hundred twenty-four".