73620144 has 80 divisors (see below), whose sum is σ = 227589600. Its totient is φ = 22650624.

The previous prime is 73620139. The next prime is 73620161. The reversal of 73620144 is 44102637.

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 15 ways as a sum of consecutive naturals, for example, 939 + ... + 12170.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2^73620144 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 73620144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113794800).

73620144 is an abundant number, since it is smaller than the sum of its proper divisors (153969456).

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

73620144 is a wasteful number, since it uses less digits than its factorization.

73620144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13127 counting only the distinct ones).

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

The square root of 73620144 is about 8580.2181790442. The cubic root of 73620144 is about 419.1140508579.

The spelling of 73620144 in words is "seventy-three million, six hundred twenty thousand, one hundred forty-four".