45954072 has 48 divisors (see below), whose sum is σ = 125141640. Its totient is φ = 15234048.

The previous prime is 45954053. The next prime is 45954079. The reversal of 45954072 is 27045954.

45954072 is a `hidden beast` number, since 45 + 9 + 540 + 72 = 666.

It is a super-2 number, since 2×45954072² = 4223553466762368, 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 (45954079) 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, 12243 + ... + 15549.

Almost surely, 2^45954072 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 45954072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62570820).

45954072 is an abundant number, since it is smaller than the sum of its proper divisors (79187568).

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

45954072 is a wasteful number, since it uses less digits than its factorization.

45954072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45954072 is about 6778.9432804826. The cubic root of 45954072 is about 358.1854994050.

The spelling of 45954072 in words is "forty-five million, nine hundred fifty-four thousand, seventy-two".