73642608 has 240 divisors, whose sum is σ = 242651136. Its totient is φ = 21461760.

The previous prime is 73642607. The next prime is 73642627. The reversal of 73642608 is 80624637.

73642608 is a `hidden beast` number, since 7 + 3 + 6 + 42 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73642607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566841 + ... + 1566887.

Almost surely, 2^73642608 is an apocalyptic number.

73642608 is a gapful number since it is divisible by the number (78) 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 73642608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325568).

73642608 is an abundant number, since it is smaller than the sum of its proper divisors (169008528).

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

73642608 is a wasteful number, since it uses less digits than its factorization.

73642608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 73642608 is about 8581.5271368213. The cubic root of 73642608 is about 419.1566751546.

The spelling of 73642608 in words is "seventy-three million, six hundred forty-two thousand, six hundred eight".