72371040 has 288 divisors, whose sum is σ = 282338784. Its totient is φ = 15482880.

The previous prime is 72371029. The next prime is 72371053. The reversal of 72371040 is 4017327.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72371040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399750 + ... + 399930.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^72371040 is an apocalyptic number.

72371040 is a gapful number since it is divisible by the number (70) 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 72371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

72371040 is an abundant number, since it is smaller than the sum of its proper divisors (209967744).

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

72371040 is a wasteful number, since it uses less digits than its factorization.

72371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72371040 is about 8507.1170204717. The cubic root of 72371040 is about 416.7301649004.

Adding to 72371040 its reverse (4017327), we get a palindrome (76388367).

The spelling of 72371040 in words is "seventy-two million, three hundred seventy-one thousand, forty".