72301572 has 120 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 20321280.

The previous prime is 72301547. The next prime is 72301577. The reversal of 72301572 is 27510327.

72301572 = T₃₂₈ + T₃₂₉ + ... + T₇₇₆.

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

It is not an unprimeable number, because it can be changed into a prime (72301577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160804 + ... + 161252.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^72301572 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 72301572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

72301572 is an abundant number, since it is smaller than the sum of its proper divisors (147240828).

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

72301572 is a wasteful number, since it uses less digits than its factorization.

72301572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72301572 is about 8503.0331058982. The cubic root of 72301572 is about 416.5967842979.

Adding to 72301572 its reverse (27510327), we get a palindrome (99811899).

The spelling of 72301572 in words is "seventy-two million, three hundred one thousand, five hundred seventy-two".