72555000 has 160 divisors (see below), whose sum is σ = 259416960. Its totient is φ = 16560000.

The previous prime is 72554969. The next prime is 72555001. The reversal of 72555000 is 55527.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72555001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104655 + ... + 105345.

It is an arithmetic number, because the mean of its divisors is an integer number (1621356).

Almost surely, 2^72555000 is an apocalyptic number.

72555000 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 72555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129708480).

72555000 is an abundant number, since it is smaller than the sum of its proper divisors (186861960).

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

72555000 is a wasteful number, since it uses less digits than its factorization.

72555000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 72555000 is about 8517.9222818713. The cubic root of 72555000 is about 417.0829617155.

The spelling of 72555000 in words is "seventy-two million, five hundred fifty-five thousand".