72693000 has 192 divisors, whose sum is σ = 252972720. Its totient is φ = 18816000.

The previous prime is 72692989. The next prime is 72693059. The reversal of 72693000 is 39627.

It can be written as a sum of positive squares in 8 ways, for example, as 3437316 + 69255684 = 1854^2 + 8322^2 .

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, 368902 + ... + 369098.

Almost surely, 2^72693000 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 72693000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486360).

72693000 is an abundant number, since it is smaller than the sum of its proper divisors (180279720).

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

72693000 is a wasteful number, since it uses less digits than its factorization.

72693000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72693000 is about 8526.0190006826. The cubic root of 72693000 is about 417.3472255875.

The spelling of 72693000 in words is "seventy-two million, six hundred ninety-three thousand".