73700640 has 288 divisors, whose sum is σ = 281788416. Its totient is φ = 17418240.

The previous prime is 73700621. The next prime is 73700659. The reversal of 73700640 is 4600737.

It is an interprime number because it is at equal distance from previous prime (73700621) and next prime (73700659).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580257 + ... + 580383.

It is an arithmetic number, because the mean of its divisors is an integer number (978432).

Almost surely, 2^73700640 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 73700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

73700640 is an abundant number, since it is smaller than the sum of its proper divisors (208087776).

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

73700640 is a wasteful number, since it uses less digits than its factorization.

73700640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73700640 is about 8584.9076873313. The cubic root of 73700640 is about 419.2667478159.

The spelling of 73700640 in words is "seventy-three million, seven hundred thousand, six hundred forty".