73957000 has 64 divisors (see below), whose sum is σ = 186404400. Its totient is φ = 27302400.

The previous prime is 73956997. The next prime is 73957007. The reversal of 73957000 is 75937.

It can be written as a sum of positive squares in 8 ways, for example, as 5299204 + 68657796 = 2302^2 + 8286^2 .

It is not an unprimeable number, because it can be changed into a prime (73957007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10156 + ... + 15844.

Almost surely, 2^73957000 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 73957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93202200).

73957000 is an abundant number, since it is smaller than the sum of its proper divisors (112447400).

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

73957000 is a wasteful number, since it uses less digits than its factorization.

73957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 31.

The square root of 73957000 is about 8599.8255796266. The cubic root of 73957000 is about 419.7523104952.

The spelling of 73957000 in words is "seventy-three million, nine hundred fifty-seven thousand".