73920672 has 144 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 20528640.

The previous prime is 73920661. The next prime is 73920701. The reversal of 73920672 is 27602937.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74097 + ... + 75087.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^73920672 is an apocalyptic number.

73920672 is a gapful number since it is divisible by the number (72) 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 73920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

73920672 is an abundant number, since it is smaller than the sum of its proper divisors (173063520).

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

73920672 is a wasteful number, since it uses less digits than its factorization.

73920672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73920672 is about 8597.7131843299. The cubic root of 73920672 is about 419.6835711856.

The spelling of 73920672 in words is "seventy-three million, nine hundred twenty thousand, six hundred seventy-two".