73650720 has 384 divisors, whose sum is σ = 289578240. Its totient is φ = 15482880.

The previous prime is 73650713. The next prime is 73650727. The reversal of 73650720 is 2705637.

It is an interprime number because it is at equal distance from previous prime (73650713) and next prime (73650727).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73650727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990542 + ... + 1990578.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^73650720 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 73650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

73650720 is an abundant number, since it is smaller than the sum of its proper divisors (215927520).

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

73650720 is a wasteful number, since it uses less digits than its factorization.

73650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 73650720 is about 8581.9997669541. Note that the first 3 decimals coincide. The cubic root of 73650720 is about 419.1720651315.

The spelling of 73650720 in words is "seventy-three million, six hundred fifty thousand, seven hundred twenty".