72966552 has 64 divisors (see below), whose sum is σ = 193384800. Its totient is φ = 22901760.

The previous prime is 72966547. The next prime is 72966559. The reversal of 72966552 is 25566927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72966559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27258 + ... + 29814.

Almost surely, 2^72966552 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 72966552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96692400).

72966552 is an abundant number, since it is smaller than the sum of its proper divisors (120418248).

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

72966552 is a wasteful number, since it uses less digits than its factorization.

72966552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2632 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 72966552 is about 8542.0461249047. The cubic root of 72966552 is about 417.8700785910.

The spelling of 72966552 in words is "seventy-two million, nine hundred sixty-six thousand, five hundred fifty-two".