40772160 has 420 divisors, whose sum is σ = 171680124. Its totient is φ = 9123840.

The previous prime is 40772143. The next prime is 40772167. The reversal of 40772160 is 6127704.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 30735936 = 3168^2 + 5544^2 .

It is a super-3 number, since 3×40772160³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40772167) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136314 + ... + 3136326.

Almost surely, 2^40772160 is an apocalyptic number.

40772160 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 40772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85840062).

40772160 is an abundant number, since it is smaller than the sum of its proper divisors (130907964).

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

40772160 is a wasteful number, since it uses less digits than its factorization.

40772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40772160 is about 6385.3081366525. The cubic root of 40772160 is about 344.1818040258.

Adding to 40772160 its reverse (6127704), we get a palindrome (46899864).

The spelling of 40772160 in words is "forty million, seven hundred seventy-two thousand, one hundred sixty".