72301628 has 12 divisors (see below), whose sum is σ = 144603312. Its totient is φ = 30986400.

The previous prime is 72301597. The next prime is 72301633. The reversal of 72301628 is 82610327.

It is a happy number.

72301628 is an admirable number.

It is a super-2 number, since 2×72301628² = 10455050822900768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72301628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1291073 + ... + 1291128.

It is an arithmetic number, because the mean of its divisors is an integer number (12050276).

Almost surely, 2^72301628 is an apocalyptic number.

It is an amenable number.

72301628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72301628 is a wasteful number, since it uses less digits than its factorization.

72301628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582212 (or 2582210 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72301628 is about 8503.0363988401. The cubic root of 72301628 is about 416.5968918540.

The spelling of 72301628 in words is "seventy-two million, three hundred one thousand, six hundred twenty-eight".