72077025 has 24 divisors (see below), whose sum is σ = 126179424. Its totient is φ = 36179200.

The previous prime is 72077017. The next prime is 72077029. The reversal of 72077025 is 52077027.

It is not a de Polignac number, because 72077025 - 2³ = 72077017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72076983 and 72077001.

It is not an unprimeable number, because it can be changed into a prime (72077029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26991 + ... + 29540.

It is an arithmetic number, because the mean of its divisors is an integer number (5257476).

Almost surely, 2^72077025 is an apocalyptic number.

72077025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72077025 is a deficient number, since it is larger than the sum of its proper divisors (54102399).

72077025 is a wasteful number, since it uses less digits than its factorization.

72077025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56561 (or 56556 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 72077025 is about 8489.8189026622. The cubic root of 72077025 is about 416.1650621631.

The spelling of 72077025 in words is "seventy-two million, seventy-seven thousand, twenty-five".