72490572 has 192 divisors, whose sum is σ = 245145600. Its totient is φ = 17962560.

The previous prime is 72490571. The next prime is 72490597. The reversal of 72490572 is 27509427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72490571) 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 63 ways as a sum of consecutive naturals, for example, 191079 + ... + 191457.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^72490572 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 72490572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

72490572 is an abundant number, since it is smaller than the sum of its proper divisors (172655028).

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

72490572 is a wasteful number, since it uses less digits than its factorization.

72490572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72490572 is about 8514.1395337403. The cubic root of 72490572 is about 416.9594702082.

Adding to 72490572 its reverse (27509427), we get a palindrome (99999999).

The spelling of 72490572 in words is "seventy-two million, four hundred ninety thousand, five hundred seventy-two".