72619140 has 96 divisors (see below), whose sum is σ = 233533440. Its totient is φ = 16675200.

The previous prime is 72619139. The next prime is 72619153. The reversal of 72619140 is 4191627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72619098 and 72619107.

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, 9645 + ... + 15435.

It is an arithmetic number, because the mean of its divisors is an integer number (2432640).

Almost surely, 2^72619140 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 72619140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116766720).

72619140 is an abundant number, since it is smaller than the sum of its proper divisors (160914300).

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

72619140 is a wasteful number, since it uses less digits than its factorization.

72619140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 72619140 is about 8521.6864528097. The cubic root of 72619140 is about 417.2058286074.

The spelling of 72619140 in words is "seventy-two million, six hundred nineteen thousand, one hundred forty".