73761408 has 128 divisors (see below), whose sum is σ = 248880000. Its totient is φ = 21067776.

The previous prime is 73761397. The next prime is 73761421. The reversal of 73761408 is 80416737.

73761408 is a `hidden beast` number, since 7 + 37 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22668 + ... + 25716.

It is an arithmetic number, because the mean of its divisors is an integer number (1944375).

Almost surely, 2^73761408 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 73761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124440000).

73761408 is an abundant number, since it is smaller than the sum of its proper divisors (175118592).

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

73761408 is a wasteful number, since it uses less digits than its factorization.

73761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73761408 is about 8588.4461924146. The cubic root of 73761408 is about 419.3819480934.

The spelling of 73761408 in words is "seventy-three million, seven hundred sixty-one thousand, four hundred eight".