72705564 has 18 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 24235176.

The previous prime is 72705551. The next prime is 72705631. The reversal of 72705564 is 46550727.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2019599 = 72705564 / (7 + 2 + 7 + 0 + 5 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1009764 + ... + 1009835.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 2^72705564 is an apocalyptic number.

It is an amenable number.

72705564 is an abundant number, since it is smaller than the sum of its proper divisors (111078036).

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

72705564 is a wasteful number, since it uses less digits than its factorization.

72705564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019609 (or 2019604 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72705564 is about 8526.7557722735. The cubic root of 72705564 is about 417.3712684733.

The spelling of 72705564 in words is "seventy-two million, seven hundred five thousand, five hundred sixty-four".