72119040 has 144 divisors (see below), whose sum is σ = 263332608. Its totient is φ = 16478208.

The previous prime is 72119039. The next prime is 72119057. The reversal of 72119040 is 4091127.

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 72119040.

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, 25539 + ... + 28221.

Almost surely, 2^72119040 is an apocalyptic number.

72119040 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 72119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131666304).

72119040 is an abundant number, since it is smaller than the sum of its proper divisors (191213568).

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

72119040 is a wasteful number, since it uses less digits than its factorization.

72119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72119040 is about 8492.2929765759. The cubic root of 72119040 is about 416.2459098336.

The spelling of 72119040 in words is "seventy-two million, one hundred nineteen thousand, forty".