45261792 has 72 divisors (see below), whose sum is σ = 134329104. Its totient is φ = 14429184.

The previous prime is 45261773. The next prime is 45261793. The reversal of 45261792 is 29716254.

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

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 (45261793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3208 + ... + 10040.

It is an arithmetic number, because the mean of its divisors is an integer number (1865682).

Almost surely, 2^45261792 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 45261792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67164552).

45261792 is an abundant number, since it is smaller than the sum of its proper divisors (89067312).

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

45261792 is a wasteful number, since it uses less digits than its factorization.

45261792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6861 counting only the distinct ones).

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

The square root of 45261792 is about 6727.6884588988. The cubic root of 45261792 is about 356.3777499364.

The spelling of 45261792 in words is "forty-five million, two hundred sixty-one thousand, seven hundred ninety-two".