72488052 has 216 divisors, whose sum is σ = 239639400. Its totient is φ = 18289152.

The previous prime is 72488029. The next prime is 72488071. The reversal of 72488052 is 25088427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 65707236 = 2604^2 + 8106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72487998 and 72488016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664974 + ... + 665082.

Almost surely, 2^72488052 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 72488052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119819700).

72488052 is an abundant number, since it is smaller than the sum of its proper divisors (167151348).

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

72488052 is a wasteful number, since it uses less digits than its factorization.

72488052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72488052 is about 8513.9915433362. The cubic root of 72488052 is about 416.9546385452.

The spelling of 72488052 in words is "seventy-two million, four hundred eighty-eight thousand, fifty-two".