45601272 has 128 divisors (see below), whose sum is σ = 135129600. Its totient is φ = 14217984.

The previous prime is 45601261. The next prime is 45601289. The reversal of 45601272 is 27210654.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332788 + ... + 332924.

It is an arithmetic number, because the mean of its divisors is an integer number (1055700).

Almost surely, 2^45601272 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 45601272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67564800).

45601272 is an abundant number, since it is smaller than the sum of its proper divisors (89528328).

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

45601272 is a wasteful number, since it uses less digits than its factorization.

45601272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45601272 is about 6752.8713892684. The cubic root of 45601272 is about 357.2665194317.

It can be divided in two parts, 4560 and 1272, that added together give a cube (5832 = 18³).

The spelling of 45601272 in words is "forty-five million, six hundred one thousand, two hundred seventy-two".