72150000 has 240 divisors, whose sum is σ = 257671008. Its totient is φ = 17280000.

The previous prime is 72149983. The next prime is 72150047. The reversal of 72150000 is 5127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1949982 + ... + 1950018.

Almost surely, 2^72150000 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 72150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835504).

72150000 is an abundant number, since it is smaller than the sum of its proper divisors (185521008).

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

72150000 is a wasteful number, since it uses less digits than its factorization.

72150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 72150000 is about 8494.1156102328. The cubic root of 72150000 is about 416.3054647479.

Adding to 72150000 its reverse (5127), we get a palindrome (72155127).

It can be divided in two parts, 721 and 50000, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 72150000 in words is "seventy-two million, one hundred fifty thousand".