72299040 has 96 divisors (see below), whose sum is σ = 248463936. Its totient is φ = 17525760.

The previous prime is 72299033. The next prime is 72299057. The reversal of 72299040 is 4099227.

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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 72298992 and 72299010.

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, 1567 + ... + 12126.

It is an arithmetic number, because the mean of its divisors is an integer number (2588166).

Almost surely, 2^72299040 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 72299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124231968).

72299040 is an abundant number, since it is smaller than the sum of its proper divisors (176164896).

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

72299040 is a wasteful number, since it uses less digits than its factorization.

72299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72299040 is about 8502.8842165468. The cubic root of 72299040 is about 416.5919211700.

The spelling of 72299040 in words is "seventy-two million, two hundred ninety-nine thousand, forty".