72011040 has 96 divisors (see below), whose sum is σ = 230138496. Its totient is φ = 18923520.

The previous prime is 72011039. The next prime is 72011053. The reversal of 72011040 is 4011027.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33024 + ... + 35136.

It is an arithmetic number, because the mean of its divisors is an integer number (2397276).

Almost surely, 2^72011040 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 72011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115069248).

72011040 is an abundant number, since it is smaller than the sum of its proper divisors (158127456).

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

72011040 is a wasteful number, since it uses less digits than its factorization.

72011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 72011040 is about 8485.9318875419. The cubic root of 72011040 is about 416.0380266028.

Adding to 72011040 its reverse (4011027), we get a palindrome (76022067).

The spelling of 72011040 in words is "seventy-two million, eleven thousand, forty".