72620052 has 48 divisors (see below), whose sum is σ = 179020800. Its totient is φ = 22848480.

The previous prime is 72620003. The next prime is 72620059. The reversal of 72620052 is 25002627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72620059) 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, 97899 + ... + 98637.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2^72620052 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 72620052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89510400).

72620052 is an abundant number, since it is smaller than the sum of its proper divisors (106400748).

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

72620052 is a wasteful number, since it uses less digits than its factorization.

72620052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72620052 is about 8521.7399631765. The cubic root of 72620052 is about 417.2075751172.

Adding to 72620052 its reverse (25002627), we get a palindrome (97622679).

The spelling of 72620052 in words is "seventy-two million, six hundred twenty thousand, fifty-two".