72077607 has 40 divisors (see below), whose sum is σ = 128426496. Its totient is φ = 39389328.

The previous prime is 72077597. The next prime is 72077609. The reversal of 72077607 is 70677027.

It is a happy number.

It is not a de Polignac number, because 72077607 - 2⁶ = 72077543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72077609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10278 + ... + 15804.

Almost surely, 2^72077607 is an apocalyptic number.

72077607 is a deficient number, since it is larger than the sum of its proper divisors (56348889).

72077607 is a wasteful number, since it uses less digits than its factorization.

72077607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 72077607 is about 8489.8531789425. The cubic root of 72077607 is about 416.1661822954.

The spelling of 72077607 in words is "seventy-two million, seventy-seven thousand, six hundred seven".