72036552 has 128 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 19388160.

The previous prime is 72036541. The next prime is 72036563. The reversal of 72036552 is 25563027.

It is an interprime number because it is at equal distance from previous prime (72036541) and next prime (72036563).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397902 + ... + 398082.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^72036552 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 72036552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109025280).

72036552 is an abundant number, since it is smaller than the sum of its proper divisors (146014008).

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

72036552 is a wasteful number, since it uses less digits than its factorization.

72036552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 72036552 is about 8487.4349482043. The cubic root of 72036552 is about 416.0871519820.

Adding to 72036552 its reverse (25563027), we get a palindrome (97599579).

The spelling of 72036552 in words is "seventy-two million, thirty-six thousand, five hundred fifty-two".