40072590 has 64 divisors (see below), whose sum is σ = 107553600. Its totient is φ = 10616832.

The previous prime is 40072589. The next prime is 40072607. The reversal of 40072590 is 9527004.

40072590 is a `hidden beast` number, since 4 + 0 + 0 + 72 + 590 = 666.

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, 51726 + ... + 52494.

It is an arithmetic number, because the mean of its divisors is an integer number (1680525).

Almost surely, 2^40072590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40072590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53776800).

40072590 is an abundant number, since it is smaller than the sum of its proper divisors (67481010).

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

40072590 is a wasteful number, since it uses less digits than its factorization.

40072590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40072590 is about 6330.2914624842. The cubic root of 40072590 is about 342.2019429070.

Adding to 40072590 its reverse (9527004), we get a palindrome (49599594).

The spelling of 40072590 in words is "forty million, seventy-two thousand, five hundred ninety".