72477401 has 2 divisors, whose sum is σ = 72477402. Its totient is φ = 72477400.

The previous prime is 72477373. The next prime is 72477407. The reversal of 72477401 is 10477427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70224400 + 2253001 = 8380^2 + 1501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72477401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72477407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36238700 + 36238701.

It is an arithmetic number, because the mean of its divisors is an integer number (36238701).

Almost surely, 2^72477401 is an apocalyptic number.

It is an amenable number.

72477401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72477401 is an equidigital number, since it uses as much as digits as its factorization.

72477401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 72477401 is about 8513.3660205585. The cubic root of 72477401 is about 416.9342158628.

It can be divided in two parts, 724 and 77401, that added together give a 7-th power (78125 = 5⁷).

The spelling of 72477401 in words is "seventy-two million, four hundred seventy-seven thousand, four hundred one".