45972360 has 160 divisors (see below), whose sum is σ = 176679360. Its totient is φ = 10502784.

The previous prime is 45972317. The next prime is 45972361. The reversal of 45972360 is 6327954.

45972360 is a `hidden beast` number, since 4 + 597 + 2 + 3 + 60 = 666.

It is a super-2 number, since 2×45972360² = 4226915767939200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45972361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21667 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (1104246).

Almost surely, 2^45972360 is an apocalyptic number.

45972360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45972360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88339680).

45972360 is an abundant number, since it is smaller than the sum of its proper divisors (130707000).

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

45972360 is a wasteful number, since it uses less digits than its factorization.

45972360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45972360 is about 6780.2920291091. The cubic root of 45972360 is about 358.2330079092.

The spelling of 45972360 in words is "forty-five million, nine hundred seventy-two thousand, three hundred sixty".