72066753 has 84 divisors (see below), whose sum is σ = 127924720. Its totient is φ = 40415760.

The previous prime is 72066749. The next prime is 72066763. The reversal of 72066753 is 35766027.

It is a happy number.

It is not a de Polignac number, because 72066753 - 2² = 72066749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72066733) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1675950 + ... + 1675992.

Almost surely, 2^72066753 is an apocalyptic number.

It is an amenable number.

72066753 is a deficient number, since it is larger than the sum of its proper divisors (55857967).

72066753 is a wasteful number, since it uses less digits than its factorization.

72066753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72066753 is about 8489.2139212061. The cubic root of 72066753 is about 416.1452914127.

The spelling of 72066753 in words is "seventy-two million, sixty-six thousand, seven hundred fifty-three".