72752900 has 108 divisors (see below), whose sum is σ = 184415280. Its totient is φ = 24638400.

The previous prime is 72752893. The next prime is 72752921. The reversal of 72752900 is 925727.

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 35 ways as a sum of consecutive naturals, for example, 1233071 + ... + 1233129.

Almost surely, 2^72752900 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 72752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207640).

72752900 is an abundant number, since it is smaller than the sum of its proper divisors (111662380).

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

72752900 is a wasteful number, since it uses less digits than its factorization.

72752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 72752900 is about 8529.5310539326. The cubic root of 72752900 is about 417.4618273393.

The spelling of 72752900 in words is "seventy-two million, seven hundred fifty-two thousand, nine hundred".