40752000 has 192 divisors, whose sum is σ = 146867760. Its totient is φ = 10828800.

The previous prime is 40751999. The next prime is 40752001. The reversal of 40752000 is 25704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40751999) and next prime (40752001).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40752001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143859 + ... + 144141.

Almost surely, 2^40752000 is an apocalyptic number.

40752000 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 40752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73433880).

40752000 is an abundant number, since it is smaller than the sum of its proper divisors (106115760).

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

40752000 is a wasteful number, since it uses less digits than its factorization.

40752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 40752000 is about 6383.7293175698. The cubic root of 40752000 is about 344.1250671976.

Adding to 40752000 its reverse (25704), we get a palindrome (40777704).

The spelling of 40752000 in words is "forty million, seven hundred fifty-two thousand".