72501300 has 54 divisors (see below), whose sum is σ = 227254118. Its totient is φ = 19333440.

The previous prime is 72501287. The next prime is 72501301. The reversal of 72501300 is 310527.

It can be written as a sum of positive squares in 3 ways, for example, as 5817744 + 66683556 = 2412^2 + 8166^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72501301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39379 + ... + 41178.

Almost surely, 2^72501300 is an apocalyptic number.

It is an amenable number.

72501300 is an abundant number, since it is smaller than the sum of its proper divisors (154752818).

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

72501300 is a wasteful number, since it uses less digits than its factorization.

72501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80577 (or 80567 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 72501300 is about 8514.7695212495. The cubic root of 72501300 is about 416.9800380348.

Adding to 72501300 its reverse (310527), we get a palindrome (72811827).

The spelling of 72501300 in words is "seventy-two million, five hundred one thousand, three hundred".