45261972 has 72 divisors (see below), whose sum is σ = 133829696. Its totient is φ = 12628224.

The previous prime is 45261961. The next prime is 45261977. The reversal of 45261972 is 27916254.

It is a super-2 number, since 2×45261972² = 4097292218657568, which contains 22 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 (45261977) 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 23 ways as a sum of consecutive naturals, for example, 8748 + ... + 12924.

Almost surely, 2^45261972 is an apocalyptic number.

45261972 is a gapful number since it is divisible by the number (42) 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 45261972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66914848).

45261972 is an abundant number, since it is smaller than the sum of its proper divisors (88567724).

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

45261972 is a wasteful number, since it uses less digits than its factorization.

45261972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4232 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 45261972 is about 6727.7018364372. The cubic root of 45261972 is about 356.3782223578.

The spelling of 45261972 in words is "forty-five million, two hundred sixty-one thousand, nine hundred seventy-two".