45572472 has 72 divisors (see below), whose sum is σ = 135691920. Its totient is φ = 13807200.

The previous prime is 45572467. The next prime is 45572473. The reversal of 45572472 is 27427554.

It is a happy number.

45572472 is a `hidden beast` number, since 45 + 572 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×45572472³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45572473) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6097 + ... + 11327.

It is an arithmetic number, because the mean of its divisors is an integer number (1884610).

Almost surely, 2^45572472 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 45572472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67845960).

45572472 is an abundant number, since it is smaller than the sum of its proper divisors (90119448).

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

45572472 is a wasteful number, since it uses less digits than its factorization.

45572472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5247 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 45572472 is about 6750.7386262542. The cubic root of 45572472 is about 357.1912916864.

It can be divided in two parts, 455 and 72472, that added together give a palindrome (72927).

The spelling of 45572472 in words is "forty-five million, five hundred seventy-two thousand, four hundred seventy-two".