72619104 has 48 divisors (see below), whose sum is σ = 201842928. Its totient is φ = 22781952.

The previous prime is 72619093. The next prime is 72619109. The reversal of 72619104 is 40191627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72619109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20617 + ... + 23880.

It is an arithmetic number, because the mean of its divisors is an integer number (4205061).

Almost surely, 2^72619104 is an apocalyptic number.

It is an amenable number.

72619104 is an abundant number, since it is smaller than the sum of its proper divisors (129223824).

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

72619104 is a wasteful number, since it uses less digits than its factorization.

72619104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44527 (or 44519 counting only the distinct ones).

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

The square root of 72619104 is about 8521.6843405515. The cubic root of 72619104 is about 417.2057596659.

The spelling of 72619104 in words is "seventy-two million, six hundred nineteen thousand, one hundred four".