73671840 has 144 divisors (see below), whose sum is σ = 274319136. Its totient is φ = 17856000.

The previous prime is 73671839. The next prime is 73671853. The reversal of 73671840 is 4817637.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 73671795 and 73671804.

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, 13515 + ... + 18165.

It is an arithmetic number, because the mean of its divisors is an integer number (1904994).

Almost surely, 2^73671840 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 73671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137159568).

73671840 is an abundant number, since it is smaller than the sum of its proper divisors (200647296).

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

73671840 is a wasteful number, since it uses less digits than its factorization.

73671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4672 counting only the distinct ones).

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

The square root of 73671840 is about 8583.2301611922. The cubic root of 73671840 is about 419.2121284100.

The spelling of 73671840 in words is "seventy-three million, six hundred seventy-one thousand, eight hundred forty".