72562072 has 64 divisors (see below), whose sum is σ = 155888640. Its totient is φ = 31363200.

The previous prime is 72562051. The next prime is 72562097. The reversal of 72562072 is 27026527.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 182578 + ... + 182974.

It is an arithmetic number, because the mean of its divisors is an integer number (2435760).

Almost surely, 2^72562072 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 72562072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77944320).

72562072 is an abundant number, since it is smaller than the sum of its proper divisors (83326568).

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

72562072 is a wasteful number, since it uses less digits than its factorization.

72562072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 72562072 is about 8518.3373964642. The cubic root of 72562072 is about 417.0965124236.

Adding to 72562072 its reverse (27026527), we get a palindrome (99588599).

The spelling of 72562072 in words is "seventy-two million, five hundred sixty-two thousand, seventy-two".