73645920 has 144 divisors (see below), whose sum is σ = 253562400. Its totient is φ = 19464192.

The previous prime is 73645907. The next prime is 73645961. The reversal of 73645920 is 2954637.

73645920 is a `hidden beast` number, since 7 + 3 + 64 + 592 + 0 = 666.

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 congruent number.

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, 286432 + ... + 286688.

It is an arithmetic number, because the mean of its divisors is an integer number (1760850).

Almost surely, 2^73645920 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 73645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

73645920 is an abundant number, since it is smaller than the sum of its proper divisors (179916480).

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

73645920 is a wasteful number, since it uses less digits than its factorization.

73645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 73645920 is about 8581.7201072978. The cubic root of 73645920 is about 419.1629587728.

It can be divided in two parts, 736 and 45920, that added together give a 6-th power (46656 = 6⁶).

The spelling of 73645920 in words is "seventy-three million, six hundred forty-five thousand, nine hundred twenty".