72751600 has 60 divisors (see below), whose sum is σ = 175747680. Its totient is φ = 28940800.

The previous prime is 72751579. The next prime is 72751603. The reversal of 72751600 is 615727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72751603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95220 + ... + 95980.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 2^72751600 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 72751600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87873840).

72751600 is an abundant number, since it is smaller than the sum of its proper divisors (102996080).

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

72751600 is a wasteful number, since it uses less digits than its factorization.

72751600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72751600 is about 8529.4548477614. The cubic root of 72751600 is about 417.4593408239.

The spelling of 72751600 in words is "seventy-two million, seven hundred fifty-one thousand, six hundred".