72290016 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 23310720.

The previous prime is 72289993. The next prime is 72290017. The reversal of 72290016 is 61009227.

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

It is a super-3 number, since 3×72290016³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72290017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25435 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^72290016 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 72290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

72290016 is an abundant number, since it is smaller than the sum of its proper divisors (145437984).

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

72290016 is a wasteful number, since it uses less digits than its factorization.

72290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72290016 is about 8502.3535565160. The cubic root of 72290016 is about 416.5745881510.

The spelling of 72290016 in words is "seventy-two million, two hundred ninety thousand, sixteen".