72870120 has 96 divisors (see below), whose sum is σ = 242653320. Its totient is φ = 18954240.

The previous prime is 72870101. The next prime is 72870151. The reversal of 72870120 is 2107827.

It can be written as a sum of positive squares in 4 ways, for example, as 36942084 + 35928036 = 6078^2 + 5994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12292 + ... + 17228.

Almost surely, 2^72870120 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 72870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121326660).

72870120 is an abundant number, since it is smaller than the sum of its proper divisors (169783200).

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

72870120 is a wasteful number, since it uses less digits than its factorization.

72870120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72870120 is about 8536.3997094794. The cubic root of 72870120 is about 417.6859128740.

Adding to 72870120 its reverse (2107827), we get a palindrome (74977947).

The spelling of 72870120 in words is "seventy-two million, eight hundred seventy thousand, one hundred twenty".