72065700 has 360 divisors, whose sum is σ = 282315264. Its totient is φ = 15552000.

The previous prime is 72065687. The next prime is 72065717. The reversal of 72065700 is 756027.

72065700 is a `hidden beast` number, since 7 + 2 + 0 + 657 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1757680 + ... + 1757720.

Almost surely, 2^72065700 is an apocalyptic number.

72065700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72065700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157632).

72065700 is an abundant number, since it is smaller than the sum of its proper divisors (210249564).

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

72065700 is a wasteful number, since it uses less digits than its factorization.

72065700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72065700 is about 8489.1519011030. The cubic root of 72065700 is about 416.1432645737.

The spelling of 72065700 in words is "seventy-two million, sixty-five thousand, seven hundred".