72150072 has 32 divisors (see below), whose sum is σ = 180660480. Its totient is φ = 24012000.

The previous prime is 72150053. The next prime is 72150073. The reversal of 72150072 is 27005127.

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 (72150073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16023 + ... + 20025.

It is an arithmetic number, because the mean of its divisors is an integer number (5645640).

Almost surely, 2^72150072 is an apocalyptic number.

It is an amenable number.

72150072 is an abundant number, since it is smaller than the sum of its proper divisors (108510408).

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

72150072 is a wasteful number, since it uses less digits than its factorization.

72150072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72150072 is about 8494.1198484599. The cubic root of 72150072 is about 416.3056032278.

Adding to 72150072 its reverse (27005127), we get a palindrome (99155199).

The spelling of 72150072 in words is "seventy-two million, one hundred fifty thousand, seventy-two".