72630052 has 48 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 30694400.

The previous prime is 72630049. The next prime is 72630059. The reversal of 72630052 is 25003627.

It is a junction number, because it is equal to n+sod(n) for n = 72629999 and 72630026.

It is not an unprimeable number, because it can be changed into a prime (72630059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66027 + ... + 67117.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^72630052 is an apocalyptic number.

It is an amenable number.

72630052 is an abundant number, since it is smaller than the sum of its proper divisors (75969308).

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

72630052 is a wasteful number, since it uses less digits than its factorization.

72630052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 72630052 is about 8522.3266776157. The cubic root of 72630052 is about 417.2267244851.

Adding to 72630052 its reverse (25003627), we get a palindrome (97633679).

The spelling of 72630052 in words is "seventy-two million, six hundred thirty thousand, fifty-two".