72620064 has 168 divisors, whose sum is σ = 234671472. Its totient is φ = 21928320.

The previous prime is 72620063. The next prime is 72620083. The reversal of 72620064 is 46002627.

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 (72620063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256467 + ... + 256749.

It is an arithmetic number, because the mean of its divisors is an integer number (1396854).

Almost surely, 2^72620064 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 72620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117335736).

72620064 is an abundant number, since it is smaller than the sum of its proper divisors (162051408).

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

72620064 is a wasteful number, since it uses less digits than its factorization.

72620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72620064 is about 8521.7406672581. The cubic root of 72620064 is about 417.2075980975.

The spelling of 72620064 in words is "seventy-two million, six hundred twenty thousand, sixty-four".