72553000 has 64 divisors (see below), whose sum is σ = 182866320. Its totient is φ = 26784000.

The previous prime is 72552947. The next prime is 72553037. The reversal of 72553000 is 35527.

It can be written as a sum of positive squares in 8 ways, for example, as 879844 + 71673156 = 938^2 + 8466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10210 + ... + 15790.

Almost surely, 2^72553000 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 72553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91433160).

72553000 is an abundant number, since it is smaller than the sum of its proper divisors (110313320).

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

72553000 is a wasteful number, since it uses less digits than its factorization.

72553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 72553000 is about 8517.8048815408. The cubic root of 72553000 is about 417.0791293420.

Adding to 72553000 its reverse (35527), we get a palindrome (72588527).

The spelling of 72553000 in words is "seventy-two million, five hundred fifty-three thousand".